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Finding the Fourth Proportional to 1,646.91, 2,470.23 and 866.61

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Solution

The fourth proportional to 1,646.91, 2,470.23 and 866.61 is: 1,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.91 : 2,470.23 = 866.61 : x
  2. Step 2: Convert to fraction form
    1,646.91/2,470.23 = 866.61/x
  3. Step 3: Cross multiply
    1,646.91x = 2,470.23 × 866.61
  4. Step 4: Simplify right side
    1,646.91x = 2,140,726.02
  5. Step 5: Solve for x
    x = 2,140,726.02/1,646.91
  6. Step 6: Final answer
    x = 1,299.84

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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.