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Finding the Fourth Proportional to 2,587.76, 3,881.04 and 738.83

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Solution

The fourth proportional to 2,587.76, 3,881.04 and 738.83 is: 1,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.76 : 3,881.04 = 738.83 : x
  2. Step 2: Convert to fraction form
    2,587.76/3,881.04 = 738.83/x
  3. Step 3: Cross multiply
    2,587.76x = 3,881.04 × 738.83
  4. Step 4: Simplify right side
    2,587.76x = 2,867,409.38
  5. Step 5: Solve for x
    x = 2,867,409.38/2,587.76
  6. Step 6: Final answer
    x = 1,108.07

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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.