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Finding the Fourth Proportional to 2,515.62, 3,472.02 and 1,468.02

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Solution

The fourth proportional to 2,515.62, 3,472.02 and 1,468.02 is: 2,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.62 : 3,472.02 = 1,468.02 : x
  2. Step 2: Convert to fraction form
    2,515.62/3,472.02 = 1,468.02/x
  3. Step 3: Cross multiply
    2,515.62x = 3,472.02 × 1,468.02
  4. Step 4: Simplify right side
    2,515.62x = 5,096,994.80
  5. Step 5: Solve for x
    x = 5,096,994.80/2,515.62
  6. Step 6: Final answer
    x = 2,026.14

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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.