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Finding the Fourth Proportional to 1,632.52, 2,461.02 and 1,523.90

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Solution

The fourth proportional to 1,632.52, 2,461.02 and 1,523.90 is: 2,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.52 : 2,461.02 = 1,523.90 : x
  2. Step 2: Convert to fraction form
    1,632.52/2,461.02 = 1,523.90/x
  3. Step 3: Cross multiply
    1,632.52x = 2,461.02 × 1,523.90
  4. Step 4: Simplify right side
    1,632.52x = 3,750,344.57
  5. Step 5: Solve for x
    x = 3,750,344.57/1,632.52
  6. Step 6: Final answer
    x = 2,297.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.