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Finding the Fourth Proportional to 2,591.40, 3,576.13 and 1,412.47

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Solution

The fourth proportional to 2,591.40, 3,576.13 and 1,412.47 is: 1,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.40 : 3,576.13 = 1,412.47 : x
  2. Step 2: Convert to fraction form
    2,591.40/3,576.13 = 1,412.47/x
  3. Step 3: Cross multiply
    2,591.40x = 3,576.13 × 1,412.47
  4. Step 4: Simplify right side
    2,591.40x = 5,051,158.46
  5. Step 5: Solve for x
    x = 5,051,158.46/2,591.40
  6. Step 6: Final answer
    x = 1,949.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.