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Finding the Fourth Proportional to 2,384.52, 3,576.24 and 740.13

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Solution

The fourth proportional to 2,384.52, 3,576.24 and 740.13 is: 1,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.52 : 3,576.24 = 740.13 : x
  2. Step 2: Convert to fraction form
    2,384.52/3,576.24 = 740.13/x
  3. Step 3: Cross multiply
    2,384.52x = 3,576.24 × 740.13
  4. Step 4: Simplify right side
    2,384.52x = 2,646,882.51
  5. Step 5: Solve for x
    x = 2,646,882.51/2,384.52
  6. Step 6: Final answer
    x = 1,110.03

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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.