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Finding the Fourth Proportional to 2,521.42, 3,781.83 and 877.83

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Solution

The fourth proportional to 2,521.42, 3,781.83 and 877.83 is: 1,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.42 : 3,781.83 = 877.83 : x
  2. Step 2: Convert to fraction form
    2,521.42/3,781.83 = 877.83/x
  3. Step 3: Cross multiply
    2,521.42x = 3,781.83 × 877.83
  4. Step 4: Simplify right side
    2,521.42x = 3,319,808.56
  5. Step 5: Solve for x
    x = 3,319,808.56/2,521.42
  6. Step 6: Final answer
    x = 1,316.64

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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.