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Finding the Fourth Proportional to 2,384.30, 3,288.87 and 1,499.38

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Solution

The fourth proportional to 2,384.30, 3,288.87 and 1,499.38 is: 2,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.30 : 3,288.87 = 1,499.38 : x
  2. Step 2: Convert to fraction form
    2,384.30/3,288.87 = 1,499.38/x
  3. Step 3: Cross multiply
    2,384.30x = 3,288.87 × 1,499.38
  4. Step 4: Simplify right side
    2,384.30x = 4,931,257.68
  5. Step 5: Solve for x
    x = 4,931,257.68/2,384.30
  6. Step 6: Final answer
    x = 2,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.