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Finding the Fourth Proportional to 1,964,986.02, 2,948,199.93 and 828,034.38

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Solution

The fourth proportional to 1,964,986.02, 2,948,199.93 and 828,034.38 is: 1,242,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,986.02 : 2,948,199.93 = 828,034.38 : x
  2. Step 2: Convert to fraction form
    1,964,986.02/2,948,199.93 = 828,034.38/x
  3. Step 3: Cross multiply
    1,964,986.02x = 2,948,199.93 × 828,034.38
  4. Step 4: Simplify right side
    1,964,986.02x = 2,441,210,901,153.59
  5. Step 5: Solve for x
    x = 2,441,210,901,153.59/1,964,986.02
  6. Step 6: Final answer
    x = 1,242,355.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.