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Finding the Fourth Proportional to 2,117.12, 3,175.62 and 818.88

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Solution

The fourth proportional to 2,117.12, 3,175.62 and 818.88 is: 1,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.12 : 3,175.62 = 818.88 : x
  2. Step 2: Convert to fraction form
    2,117.12/3,175.62 = 818.88/x
  3. Step 3: Cross multiply
    2,117.12x = 3,175.62 × 818.88
  4. Step 4: Simplify right side
    2,117.12x = 2,600,451.71
  5. Step 5: Solve for x
    x = 2,600,451.71/2,117.12
  6. Step 6: Final answer
    x = 1,228.30

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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.