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Finding the Fourth Proportional to 1,649.61, 2,474.42 and 1,000.53

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Solution

The fourth proportional to 1,649.61, 2,474.42 and 1,000.53 is: 1,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.61 : 2,474.42 = 1,000.53 : x
  2. Step 2: Convert to fraction form
    1,649.61/2,474.42 = 1,000.53/x
  3. Step 3: Cross multiply
    1,649.61x = 2,474.42 × 1,000.53
  4. Step 4: Simplify right side
    1,649.61x = 2,475,726.44
  5. Step 5: Solve for x
    x = 2,475,726.44/1,649.61
  6. Step 6: Final answer
    x = 1,500.80

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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.