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Finding the Fourth Proportional to 1,613.12, 2,227.68 and 1,378.88

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Solution

The fourth proportional to 1,613.12, 2,227.68 and 1,378.88 is: 1,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.12 : 2,227.68 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    1,613.12/2,227.68 = 1,378.88/x
  3. Step 3: Cross multiply
    1,613.12x = 2,227.68 × 1,378.88
  4. Step 4: Simplify right side
    1,613.12x = 3,071,703.40
  5. Step 5: Solve for x
    x = 3,071,703.40/1,613.12
  6. Step 6: Final answer
    x = 1,904.20

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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.