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Finding the Fourth Proportional to 2,347.92, 3,519.96 and 886.32

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Solution

The fourth proportional to 2,347.92, 3,519.96 and 886.32 is: 1,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.92 : 3,519.96 = 886.32 : x
  2. Step 2: Convert to fraction form
    2,347.92/3,519.96 = 886.32/x
  3. Step 3: Cross multiply
    2,347.92x = 3,519.96 × 886.32
  4. Step 4: Simplify right side
    2,347.92x = 3,119,810.95
  5. Step 5: Solve for x
    x = 3,119,810.95/2,347.92
  6. Step 6: Final answer
    x = 1,328.76

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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.