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Finding the Fourth Proportional to 2,313.66, 3,188.96 and 1,753.95

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Solution

The fourth proportional to 2,313.66, 3,188.96 and 1,753.95 is: 2,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.66 : 3,188.96 = 1,753.95 : x
  2. Step 2: Convert to fraction form
    2,313.66/3,188.96 = 1,753.95/x
  3. Step 3: Cross multiply
    2,313.66x = 3,188.96 × 1,753.95
  4. Step 4: Simplify right side
    2,313.66x = 5,593,251.68
  5. Step 5: Solve for x
    x = 5,593,251.68/2,313.66
  6. Step 6: Final answer
    x = 2,417.50

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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.