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Finding the Fourth Proportional to 1,765.12, 2,649.60 and 1,114.24

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Solution

The fourth proportional to 1,765.12, 2,649.60 and 1,114.24 is: 1,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.12 : 2,649.60 = 1,114.24 : x
  2. Step 2: Convert to fraction form
    1,765.12/2,649.60 = 1,114.24/x
  3. Step 3: Cross multiply
    1,765.12x = 2,649.60 × 1,114.24
  4. Step 4: Simplify right side
    1,765.12x = 2,952,290.30
  5. Step 5: Solve for x
    x = 2,952,290.30/1,765.12
  6. Step 6: Final answer
    x = 1,672.57

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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.