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Finding the Fourth Proportional to 1,766.23, 2,649.33 and 432.03

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Solution

The fourth proportional to 1,766.23, 2,649.33 and 432.03 is: 648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.23 : 2,649.33 = 432.03 : x
  2. Step 2: Convert to fraction form
    1,766.23/2,649.33 = 432.03/x
  3. Step 3: Cross multiply
    1,766.23x = 2,649.33 × 432.03
  4. Step 4: Simplify right side
    1,766.23x = 1,144,590.04
  5. Step 5: Solve for x
    x = 1,144,590.04/1,766.23
  6. Step 6: Final answer
    x = 648.04

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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.