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Finding the Fourth Proportional to 1,951.14, 2,927.04 and 652.32

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Solution

The fourth proportional to 1,951.14, 2,927.04 and 652.32 is: 978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.14 : 2,927.04 = 652.32 : x
  2. Step 2: Convert to fraction form
    1,951.14/2,927.04 = 652.32/x
  3. Step 3: Cross multiply
    1,951.14x = 2,927.04 × 652.32
  4. Step 4: Simplify right side
    1,951.14x = 1,909,366.73
  5. Step 5: Solve for x
    x = 1,909,366.73/1,951.14
  6. Step 6: Final answer
    x = 978.59

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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.