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Finding the Fourth Proportional to 1,342.72, 2,009.13 and 953.11

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Solution

The fourth proportional to 1,342.72, 2,009.13 and 953.11 is: 1,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.72 : 2,009.13 = 953.11 : x
  2. Step 2: Convert to fraction form
    1,342.72/2,009.13 = 953.11/x
  3. Step 3: Cross multiply
    1,342.72x = 2,009.13 × 953.11
  4. Step 4: Simplify right side
    1,342.72x = 1,914,921.89
  5. Step 5: Solve for x
    x = 1,914,921.89/1,342.72
  6. Step 6: Final answer
    x = 1,426.15

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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.