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Finding the Fourth Proportional to 2,034.44, 2,807.50 and 1,195

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Solution

The fourth proportional to 2,034.44, 2,807.50 and 1,195 is: 1,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.44 : 2,807.50 = 1,195 : x
  2. Step 2: Convert to fraction form
    2,034.44/2,807.50 = 1,195/x
  3. Step 3: Cross multiply
    2,034.44x = 2,807.50 × 1,195
  4. Step 4: Simplify right side
    2,034.44x = 3,354,962.50
  5. Step 5: Solve for x
    x = 3,354,962.50/2,034.44
  6. Step 6: Final answer
    x = 1,649.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.