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Finding the Fourth Proportional to 1,927.32, 2,658.06 and 1,228.92

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Solution

The fourth proportional to 1,927.32, 2,658.06 and 1,228.92 is: 1,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.32 : 2,658.06 = 1,228.92 : x
  2. Step 2: Convert to fraction form
    1,927.32/2,658.06 = 1,228.92/x
  3. Step 3: Cross multiply
    1,927.32x = 2,658.06 × 1,228.92
  4. Step 4: Simplify right side
    1,927.32x = 3,266,543.10
  5. Step 5: Solve for x
    x = 3,266,543.10/1,927.32
  6. Step 6: Final answer
    x = 1,694.86

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