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Finding the Fourth Proportional to 1,544.50, 2,131.01 and 915.04

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Solution

The fourth proportional to 1,544.50, 2,131.01 and 915.04 is: 1,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.50 : 2,131.01 = 915.04 : x
  2. Step 2: Convert to fraction form
    1,544.50/2,131.01 = 915.04/x
  3. Step 3: Cross multiply
    1,544.50x = 2,131.01 × 915.04
  4. Step 4: Simplify right side
    1,544.50x = 1,949,944.16
  5. Step 5: Solve for x
    x = 1,949,944.16/1,544.50
  6. Step 6: Final answer
    x = 1,262.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.