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Finding the Fourth Proportional to 2,521.55, 3,781.11 and 878.06

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Solution

The fourth proportional to 2,521.55, 3,781.11 and 878.06 is: 1,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.55 : 3,781.11 = 878.06 : x
  2. Step 2: Convert to fraction form
    2,521.55/3,781.11 = 878.06/x
  3. Step 3: Cross multiply
    2,521.55x = 3,781.11 × 878.06
  4. Step 4: Simplify right side
    2,521.55x = 3,320,041.45
  5. Step 5: Solve for x
    x = 3,320,041.45/2,521.55
  6. Step 6: Final answer
    x = 1,316.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.