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Finding the Fourth Proportional to 1,661.80, 2,491.17 and 565.90

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Solution

The fourth proportional to 1,661.80, 2,491.17 and 565.90 is: 848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.80 : 2,491.17 = 565.90 : x
  2. Step 2: Convert to fraction form
    1,661.80/2,491.17 = 565.90/x
  3. Step 3: Cross multiply
    1,661.80x = 2,491.17 × 565.90
  4. Step 4: Simplify right side
    1,661.80x = 1,409,753.10
  5. Step 5: Solve for x
    x = 1,409,753.10/1,661.80
  6. Step 6: Final answer
    x = 848.33

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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.