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Finding the Fourth Proportional to 2,259.64, 3,387.12 and 1,161.56

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Solution

The fourth proportional to 2,259.64, 3,387.12 and 1,161.56 is: 1,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.64 : 3,387.12 = 1,161.56 : x
  2. Step 2: Convert to fraction form
    2,259.64/3,387.12 = 1,161.56/x
  3. Step 3: Cross multiply
    2,259.64x = 3,387.12 × 1,161.56
  4. Step 4: Simplify right side
    2,259.64x = 3,934,343.11
  5. Step 5: Solve for x
    x = 3,934,343.11/2,259.64
  6. Step 6: Final answer
    x = 1,741.14

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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.