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Finding the Fourth Proportional to 2,591.48, 3,576.20 and 1,412.58

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Solution

The fourth proportional to 2,591.48, 3,576.20 and 1,412.58 is: 1,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.48 : 3,576.20 = 1,412.58 : x
  2. Step 2: Convert to fraction form
    2,591.48/3,576.20 = 1,412.58/x
  3. Step 3: Cross multiply
    2,591.48x = 3,576.20 × 1,412.58
  4. Step 4: Simplify right side
    2,591.48x = 5,051,668.60
  5. Step 5: Solve for x
    x = 5,051,668.60/2,591.48
  6. Step 6: Final answer
    x = 1,949.34

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Why These Related Problems?

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