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Finding the Fourth Proportional to 2,397.66, 3,596.50 and 1,472.30

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Solution

The fourth proportional to 2,397.66, 3,596.50 and 1,472.30 is: 2,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.66 : 3,596.50 = 1,472.30 : x
  2. Step 2: Convert to fraction form
    2,397.66/3,596.50 = 1,472.30/x
  3. Step 3: Cross multiply
    2,397.66x = 3,596.50 × 1,472.30
  4. Step 4: Simplify right side
    2,397.66x = 5,295,126.95
  5. Step 5: Solve for x
    x = 5,295,126.95/2,397.66
  6. Step 6: Final answer
    x = 2,208.46

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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.