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Finding the Fourth Proportional to 1,864.10, 2,796.56 and 939.29

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Solution

The fourth proportional to 1,864.10, 2,796.56 and 939.29 is: 1,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.10 : 2,796.56 = 939.29 : x
  2. Step 2: Convert to fraction form
    1,864.10/2,796.56 = 939.29/x
  3. Step 3: Cross multiply
    1,864.10x = 2,796.56 × 939.29
  4. Step 4: Simplify right side
    1,864.10x = 2,626,762.16
  5. Step 5: Solve for x
    x = 2,626,762.16/1,864.10
  6. Step 6: Final answer
    x = 1,409.14

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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.