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Finding the Fourth Proportional to 1,538.96, 2,123.96 and 875.97

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Solution

The fourth proportional to 1,538.96, 2,123.96 and 875.97 is: 1,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.96 : 2,123.96 = 875.97 : x
  2. Step 2: Convert to fraction form
    1,538.96/2,123.96 = 875.97/x
  3. Step 3: Cross multiply
    1,538.96x = 2,123.96 × 875.97
  4. Step 4: Simplify right side
    1,538.96x = 1,860,520.86
  5. Step 5: Solve for x
    x = 1,860,520.86/1,538.96
  6. Step 6: Final answer
    x = 1,208.95

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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.