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Finding the Fourth Proportional to 2,384.28, 3,575.97 and 652.50

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Solution

The fourth proportional to 2,384.28, 3,575.97 and 652.50 is: 978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.28 : 3,575.97 = 652.50 : x
  2. Step 2: Convert to fraction form
    2,384.28/3,575.97 = 652.50/x
  3. Step 3: Cross multiply
    2,384.28x = 3,575.97 × 652.50
  4. Step 4: Simplify right side
    2,384.28x = 2,333,320.43
  5. Step 5: Solve for x
    x = 2,333,320.43/2,384.28
  6. Step 6: Final answer
    x = 978.63

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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.