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Finding the Fourth Proportional to 3,270.76, 4,514.07 and 1,854.96

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Solution

The fourth proportional to 3,270.76, 4,514.07 and 1,854.96 is: 2,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.76 : 4,514.07 = 1,854.96 : x
  2. Step 2: Convert to fraction form
    3,270.76/4,514.07 = 1,854.96/x
  3. Step 3: Cross multiply
    3,270.76x = 4,514.07 × 1,854.96
  4. Step 4: Simplify right side
    3,270.76x = 8,373,419.29
  5. Step 5: Solve for x
    x = 8,373,419.29/3,270.76
  6. Step 6: Final answer
    x = 2,560.08

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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.