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Finding the Fourth Proportional to 1,507.38, 2,259.18 and 814.02

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Solution

The fourth proportional to 1,507.38, 2,259.18 and 814.02 is: 1,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.38 : 2,259.18 = 814.02 : x
  2. Step 2: Convert to fraction form
    1,507.38/2,259.18 = 814.02/x
  3. Step 3: Cross multiply
    1,507.38x = 2,259.18 × 814.02
  4. Step 4: Simplify right side
    1,507.38x = 1,839,017.70
  5. Step 5: Solve for x
    x = 1,839,017.70/1,507.38
  6. Step 6: Final answer
    x = 1,220.01

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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.