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Finding the Fourth Proportional to 2,122.32, 2,927.80 and 1,414.50

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Solution

The fourth proportional to 2,122.32, 2,927.80 and 1,414.50 is: 1,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.32 : 2,927.80 = 1,414.50 : x
  2. Step 2: Convert to fraction form
    2,122.32/2,927.80 = 1,414.50/x
  3. Step 3: Cross multiply
    2,122.32x = 2,927.80 × 1,414.50
  4. Step 4: Simplify right side
    2,122.32x = 4,141,373.10
  5. Step 5: Solve for x
    x = 4,141,373.10/2,122.32
  6. Step 6: Final answer
    x = 1,951.34

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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.