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Finding the Fourth Proportional to 2,384.01, 3,578.32 and 1,152.29

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Solution

The fourth proportional to 2,384.01, 3,578.32 and 1,152.29 is: 1,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.01 : 3,578.32 = 1,152.29 : x
  2. Step 2: Convert to fraction form
    2,384.01/3,578.32 = 1,152.29/x
  3. Step 3: Cross multiply
    2,384.01x = 3,578.32 × 1,152.29
  4. Step 4: Simplify right side
    2,384.01x = 4,123,262.35
  5. Step 5: Solve for x
    x = 4,123,262.35/2,384.01
  6. Step 6: Final answer
    x = 1,729.55

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