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Finding the Fourth Proportional to 1,617.74, 2,427.06 and 644.53

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Solution

The fourth proportional to 1,617.74, 2,427.06 and 644.53 is: 966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.74 : 2,427.06 = 644.53 : x
  2. Step 2: Convert to fraction form
    1,617.74/2,427.06 = 644.53/x
  3. Step 3: Cross multiply
    1,617.74x = 2,427.06 × 644.53
  4. Step 4: Simplify right side
    1,617.74x = 1,564,306.91
  5. Step 5: Solve for x
    x = 1,564,306.91/1,617.74
  6. Step 6: Final answer
    x = 966.97

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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.