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Finding the Fourth Proportional to 1,402.53, 2,102.57 and 1,036.81

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Solution

The fourth proportional to 1,402.53, 2,102.57 and 1,036.81 is: 1,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.53 : 2,102.57 = 1,036.81 : x
  2. Step 2: Convert to fraction form
    1,402.53/2,102.57 = 1,036.81/x
  3. Step 3: Cross multiply
    1,402.53x = 2,102.57 × 1,036.81
  4. Step 4: Simplify right side
    1,402.53x = 2,179,966.93
  5. Step 5: Solve for x
    x = 2,179,966.93/1,402.53
  6. Step 6: Final answer
    x = 1,554.31

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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.