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Finding the Fourth Proportional to 1,649.40, 2,474.10 and 1,487.40

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Solution

The fourth proportional to 1,649.40, 2,474.10 and 1,487.40 is: 2,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.40 : 2,474.10 = 1,487.40 : x
  2. Step 2: Convert to fraction form
    1,649.40/2,474.10 = 1,487.40/x
  3. Step 3: Cross multiply
    1,649.40x = 2,474.10 × 1,487.40
  4. Step 4: Simplify right side
    1,649.40x = 3,679,976.34
  5. Step 5: Solve for x
    x = 3,679,976.34/1,649.40
  6. Step 6: Final answer
    x = 2,231.10

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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.