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Finding the Fourth Proportional to 1,654.56, 2,282.57 and 1,024.92

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Solution

The fourth proportional to 1,654.56, 2,282.57 and 1,024.92 is: 1,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.56 : 2,282.57 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    1,654.56/2,282.57 = 1,024.92/x
  3. Step 3: Cross multiply
    1,654.56x = 2,282.57 × 1,024.92
  4. Step 4: Simplify right side
    1,654.56x = 2,339,446.52
  5. Step 5: Solve for x
    x = 2,339,446.52/1,654.56
  6. Step 6: Final answer
    x = 1,413.94

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1.5x scale

Why These Related Problems?

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