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Finding the Fourth Proportional to 2,632.62, 3,948.02 and 1,464.40

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Solution

The fourth proportional to 2,632.62, 3,948.02 and 1,464.40 is: 2,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.62 : 3,948.02 = 1,464.40 : x
  2. Step 2: Convert to fraction form
    2,632.62/3,948.02 = 1,464.40/x
  3. Step 3: Cross multiply
    2,632.62x = 3,948.02 × 1,464.40
  4. Step 4: Simplify right side
    2,632.62x = 5,781,468.79
  5. Step 5: Solve for x
    x = 5,781,468.79/2,632.62
  6. Step 6: Final answer
    x = 2,196.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.