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Finding the Fourth Proportional to 1,766.10, 2,649.15 and 467.57

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Solution

The fourth proportional to 1,766.10, 2,649.15 and 467.57 is: 701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.10 : 2,649.15 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,766.10/2,649.15 = 467.57/x
  3. Step 3: Cross multiply
    1,766.10x = 2,649.15 × 467.57
  4. Step 4: Simplify right side
    1,766.10x = 1,238,649.82
  5. Step 5: Solve for x
    x = 1,238,649.82/1,766.10
  6. Step 6: Final answer
    x = 701.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.