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Finding the Fourth Proportional to 2,587.63, 3,881.85 and 856.66

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Solution

The fourth proportional to 2,587.63, 3,881.85 and 856.66 is: 1,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.63 : 3,881.85 = 856.66 : x
  2. Step 2: Convert to fraction form
    2,587.63/3,881.85 = 856.66/x
  3. Step 3: Cross multiply
    2,587.63x = 3,881.85 × 856.66
  4. Step 4: Simplify right side
    2,587.63x = 3,325,401.93
  5. Step 5: Solve for x
    x = 3,325,401.93/2,587.63
  6. Step 6: Final answer
    x = 1,285.12

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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.