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Finding the Fourth Proportional to 2,347.61, 3,520.04 and 886.86

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Solution

The fourth proportional to 2,347.61, 3,520.04 and 886.86 is: 1,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.61 : 3,520.04 = 886.86 : x
  2. Step 2: Convert to fraction form
    2,347.61/3,520.04 = 886.86/x
  3. Step 3: Cross multiply
    2,347.61x = 3,520.04 × 886.86
  4. Step 4: Simplify right side
    2,347.61x = 3,121,778.24
  5. Step 5: Solve for x
    x = 3,121,778.24/2,347.61
  6. Step 6: Final answer
    x = 1,329.77

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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.