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Finding the Fourth Proportional to 2,270.85, 3,398.04 and 1,877.19

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Solution

The fourth proportional to 2,270.85, 3,398.04 and 1,877.19 is: 2,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.85 : 3,398.04 = 1,877.19 : x
  2. Step 2: Convert to fraction form
    2,270.85/3,398.04 = 1,877.19/x
  3. Step 3: Cross multiply
    2,270.85x = 3,398.04 × 1,877.19
  4. Step 4: Simplify right side
    2,270.85x = 6,378,766.71
  5. Step 5: Solve for x
    x = 6,378,766.71/2,270.85
  6. Step 6: Final answer
    x = 2,808.98

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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.