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Finding the Fourth Proportional to 1,292.42, 1,785.54 and 1,282.70

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Solution

The fourth proportional to 1,292.42, 1,785.54 and 1,282.70 is: 1,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.42 : 1,785.54 = 1,282.70 : x
  2. Step 2: Convert to fraction form
    1,292.42/1,785.54 = 1,282.70/x
  3. Step 3: Cross multiply
    1,292.42x = 1,785.54 × 1,282.70
  4. Step 4: Simplify right side
    1,292.42x = 2,290,312.16
  5. Step 5: Solve for x
    x = 2,290,312.16/1,292.42
  6. Step 6: Final answer
    x = 1,772.11

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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.