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Finding the Fourth Proportional to 1,613.86, 2,226.52 and 983.95

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Solution

The fourth proportional to 1,613.86, 2,226.52 and 983.95 is: 1,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.86 : 2,226.52 = 983.95 : x
  2. Step 2: Convert to fraction form
    1,613.86/2,226.52 = 983.95/x
  3. Step 3: Cross multiply
    1,613.86x = 2,226.52 × 983.95
  4. Step 4: Simplify right side
    1,613.86x = 2,190,780.02
  5. Step 5: Solve for x
    x = 2,190,780.02/1,613.86
  6. Step 6: Final answer
    x = 1,357.48

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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.