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Finding the Fourth Proportional to 1,592.27, 2,196.95 and 928.74

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Solution

The fourth proportional to 1,592.27, 2,196.95 and 928.74 is: 1,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.27 : 2,196.95 = 928.74 : x
  2. Step 2: Convert to fraction form
    1,592.27/2,196.95 = 928.74/x
  3. Step 3: Cross multiply
    1,592.27x = 2,196.95 × 928.74
  4. Step 4: Simplify right side
    1,592.27x = 2,040,390.70
  5. Step 5: Solve for x
    x = 2,040,390.70/1,592.27
  6. Step 6: Final answer
    x = 1,281.44

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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.