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Finding the Fourth Proportional to 1,807.52, 2,708.04 and 942.80

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Solution

The fourth proportional to 1,807.52, 2,708.04 and 942.80 is: 1,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.52 : 2,708.04 = 942.80 : x
  2. Step 2: Convert to fraction form
    1,807.52/2,708.04 = 942.80/x
  3. Step 3: Cross multiply
    1,807.52x = 2,708.04 × 942.80
  4. Step 4: Simplify right side
    1,807.52x = 2,553,140.11
  5. Step 5: Solve for x
    x = 2,553,140.11/1,807.52
  6. Step 6: Final answer
    x = 1,412.51

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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.