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Finding the Fourth Proportional to 2,591.64, 3,887.36 and 1,031.58

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Solution

The fourth proportional to 2,591.64, 3,887.36 and 1,031.58 is: 1,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.64 : 3,887.36 = 1,031.58 : x
  2. Step 2: Convert to fraction form
    2,591.64/3,887.36 = 1,031.58/x
  3. Step 3: Cross multiply
    2,591.64x = 3,887.36 × 1,031.58
  4. Step 4: Simplify right side
    2,591.64x = 4,010,122.83
  5. Step 5: Solve for x
    x = 4,010,122.83/2,591.64
  6. Step 6: Final answer
    x = 1,547.33

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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.