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Finding the Fourth Proportional to 2,087.83, 3,130.80 and 993.52

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Solution

The fourth proportional to 2,087.83, 3,130.80 and 993.52 is: 1,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.83 : 3,130.80 = 993.52 : x
  2. Step 2: Convert to fraction form
    2,087.83/3,130.80 = 993.52/x
  3. Step 3: Cross multiply
    2,087.83x = 3,130.80 × 993.52
  4. Step 4: Simplify right side
    2,087.83x = 3,110,512.42
  5. Step 5: Solve for x
    x = 3,110,512.42/2,087.83
  6. Step 6: Final answer
    x = 1,489.83

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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.