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Finding the Fourth Proportional to 1,592.28, 2,196.86 and 928.98

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Solution

The fourth proportional to 1,592.28, 2,196.86 and 928.98 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.28 : 2,196.86 = 928.98 : x
  2. Step 2: Convert to fraction form
    1,592.28/2,196.86 = 928.98/x
  3. Step 3: Cross multiply
    1,592.28x = 2,196.86 × 928.98
  4. Step 4: Simplify right side
    1,592.28x = 2,040,834.36
  5. Step 5: Solve for x
    x = 2,040,834.36/1,592.28
  6. Step 6: Final answer
    x = 1,281.71

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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.