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Finding the Fourth Proportional to 2,384.32, 3,577.52 and 1,152.66

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Solution

The fourth proportional to 2,384.32, 3,577.52 and 1,152.66 is: 1,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.32 : 3,577.52 = 1,152.66 : x
  2. Step 2: Convert to fraction form
    2,384.32/3,577.52 = 1,152.66/x
  3. Step 3: Cross multiply
    2,384.32x = 3,577.52 × 1,152.66
  4. Step 4: Simplify right side
    2,384.32x = 4,123,664.20
  5. Step 5: Solve for x
    x = 4,123,664.20/2,384.32
  6. Step 6: Final answer
    x = 1,729.49

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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.