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Finding the Fourth Proportional to 2,591.74, 3,576.76 and 1,472.25

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Solution

The fourth proportional to 2,591.74, 3,576.76 and 1,472.25 is: 2,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.74 : 3,576.76 = 1,472.25 : x
  2. Step 2: Convert to fraction form
    2,591.74/3,576.76 = 1,472.25/x
  3. Step 3: Cross multiply
    2,591.74x = 3,576.76 × 1,472.25
  4. Step 4: Simplify right side
    2,591.74x = 5,265,880.44
  5. Step 5: Solve for x
    x = 5,265,880.44/2,591.74
  6. Step 6: Final answer
    x = 2,031.80

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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.