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Finding the Fourth Proportional to 2,835.68, 3,909.84 and 2,337.92

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Solution

The fourth proportional to 2,835.68, 3,909.84 and 2,337.92 is: 3,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.68 : 3,909.84 = 2,337.92 : x
  2. Step 2: Convert to fraction form
    2,835.68/3,909.84 = 2,337.92/x
  3. Step 3: Cross multiply
    2,835.68x = 3,909.84 × 2,337.92
  4. Step 4: Simplify right side
    2,835.68x = 9,140,893.13
  5. Step 5: Solve for x
    x = 9,140,893.13/2,835.68
  6. Step 6: Final answer
    x = 3,223.53

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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.