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Finding the Fourth Proportional to 1,646.73, 2,470.56 and 916.83

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Solution

The fourth proportional to 1,646.73, 2,470.56 and 916.83 is: 1,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.73 : 2,470.56 = 916.83 : x
  2. Step 2: Convert to fraction form
    1,646.73/2,470.56 = 916.83/x
  3. Step 3: Cross multiply
    1,646.73x = 2,470.56 × 916.83
  4. Step 4: Simplify right side
    1,646.73x = 2,265,083.52
  5. Step 5: Solve for x
    x = 2,265,083.52/1,646.73
  6. Step 6: Final answer
    x = 1,375.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.