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Finding the Fourth Proportional to 2,591.48, 3,887.21 and 860.10

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Solution

The fourth proportional to 2,591.48, 3,887.21 and 860.10 is: 1,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.48 : 3,887.21 = 860.10 : x
  2. Step 2: Convert to fraction form
    2,591.48/3,887.21 = 860.10/x
  3. Step 3: Cross multiply
    2,591.48x = 3,887.21 × 860.10
  4. Step 4: Simplify right side
    2,591.48x = 3,343,385.02
  5. Step 5: Solve for x
    x = 3,343,385.02/2,591.48
  6. Step 6: Final answer
    x = 1,290.15

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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.