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Finding the Fourth Proportional to 2,605.76, 3,901.80 and 2,191.76

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Solution

The fourth proportional to 2,605.76, 3,901.80 and 2,191.76 is: 3,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.76 : 3,901.80 = 2,191.76 : x
  2. Step 2: Convert to fraction form
    2,605.76/3,901.80 = 2,191.76/x
  3. Step 3: Cross multiply
    2,605.76x = 3,901.80 × 2,191.76
  4. Step 4: Simplify right side
    2,605.76x = 8,551,809.17
  5. Step 5: Solve for x
    x = 8,551,809.17/2,605.76
  6. Step 6: Final answer
    x = 3,281.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.