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Finding the Fourth Proportional to 2,587.31, 3,895.09 and 1,770.72

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Solution

The fourth proportional to 2,587.31, 3,895.09 and 1,770.72 is: 2,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.31 : 3,895.09 = 1,770.72 : x
  2. Step 2: Convert to fraction form
    2,587.31/3,895.09 = 1,770.72/x
  3. Step 3: Cross multiply
    2,587.31x = 3,895.09 × 1,770.72
  4. Step 4: Simplify right side
    2,587.31x = 6,897,113.76
  5. Step 5: Solve for x
    x = 6,897,113.76/2,587.31
  6. Step 6: Final answer
    x = 2,665.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.