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Finding the Fourth Proportional to 2,807.98, 3,875.27 and 1,613.13

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Solution

The fourth proportional to 2,807.98, 3,875.27 and 1,613.13 is: 2,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.98 : 3,875.27 = 1,613.13 : x
  2. Step 2: Convert to fraction form
    2,807.98/3,875.27 = 1,613.13/x
  3. Step 3: Cross multiply
    2,807.98x = 3,875.27 × 1,613.13
  4. Step 4: Simplify right side
    2,807.98x = 6,251,314.30
  5. Step 5: Solve for x
    x = 6,251,314.30/2,807.98
  6. Step 6: Final answer
    x = 2,226.27

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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.