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Finding the Fourth Proportional to 2,117.12, 3,175.64 and 818.84

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Solution

The fourth proportional to 2,117.12, 3,175.64 and 818.84 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.12 : 3,175.64 = 818.84 : x
  2. Step 2: Convert to fraction form
    2,117.12/3,175.64 = 818.84/x
  3. Step 3: Cross multiply
    2,117.12x = 3,175.64 × 818.84
  4. Step 4: Simplify right side
    2,117.12x = 2,600,341.06
  5. Step 5: Solve for x
    x = 2,600,341.06/2,117.12
  6. Step 6: Final answer
    x = 1,228.24

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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.