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Finding the Fourth Proportional to 2,048.42, 3,070.22 and 950.47

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Solution

The fourth proportional to 2,048.42, 3,070.22 and 950.47 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.42 : 3,070.22 = 950.47 : x
  2. Step 2: Convert to fraction form
    2,048.42/3,070.22 = 950.47/x
  3. Step 3: Cross multiply
    2,048.42x = 3,070.22 × 950.47
  4. Step 4: Simplify right side
    2,048.42x = 2,918,152.00
  5. Step 5: Solve for x
    x = 2,918,152.00/2,048.42
  6. Step 6: Final answer
    x = 1,424.59

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