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Finding the Fourth Proportional to 1,766.10, 2,649.15 and 1,658.10

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Solution

The fourth proportional to 1,766.10, 2,649.15 and 1,658.10 is: 2,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.10 : 2,649.15 = 1,658.10 : x
  2. Step 2: Convert to fraction form
    1,766.10/2,649.15 = 1,658.10/x
  3. Step 3: Cross multiply
    1,766.10x = 2,649.15 × 1,658.10
  4. Step 4: Simplify right side
    1,766.10x = 4,392,555.62
  5. Step 5: Solve for x
    x = 4,392,555.62/1,766.10
  6. Step 6: Final answer
    x = 2,487.15

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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.