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Finding the Fourth Proportional to 1,613.47, 2,226.74 and 983.86

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Solution

The fourth proportional to 1,613.47, 2,226.74 and 983.86 is: 1,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.47 : 2,226.74 = 983.86 : x
  2. Step 2: Convert to fraction form
    1,613.47/2,226.74 = 983.86/x
  3. Step 3: Cross multiply
    1,613.47x = 2,226.74 × 983.86
  4. Step 4: Simplify right side
    1,613.47x = 2,190,800.42
  5. Step 5: Solve for x
    x = 2,190,800.42/1,613.47
  6. Step 6: Final answer
    x = 1,357.82

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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.