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Finding the Fourth Proportional to 1,661.46, 2,292.78 and 915.40

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Solution

The fourth proportional to 1,661.46, 2,292.78 and 915.40 is: 1,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.46 : 2,292.78 = 915.40 : x
  2. Step 2: Convert to fraction form
    1,661.46/2,292.78 = 915.40/x
  3. Step 3: Cross multiply
    1,661.46x = 2,292.78 × 915.40
  4. Step 4: Simplify right side
    1,661.46x = 2,098,810.81
  5. Step 5: Solve for x
    x = 2,098,810.81/1,661.46
  6. Step 6: Final answer
    x = 1,263.23

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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.