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Finding the Fourth Proportional to 2,591.47, 3,576.34 and 1,412.61

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Solution

The fourth proportional to 2,591.47, 3,576.34 and 1,412.61 is: 1,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.47 : 3,576.34 = 1,412.61 : x
  2. Step 2: Convert to fraction form
    2,591.47/3,576.34 = 1,412.61/x
  3. Step 3: Cross multiply
    2,591.47x = 3,576.34 × 1,412.61
  4. Step 4: Simplify right side
    2,591.47x = 5,051,955.77
  5. Step 5: Solve for x
    x = 5,051,955.77/2,591.47
  6. Step 6: Final answer
    x = 1,949.46

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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.