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Finding the Fourth Proportional to 2,095.61, 3,138.48 and 1,230.53

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Solution

The fourth proportional to 2,095.61, 3,138.48 and 1,230.53 is: 1,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.61 : 3,138.48 = 1,230.53 : x
  2. Step 2: Convert to fraction form
    2,095.61/3,138.48 = 1,230.53/x
  3. Step 3: Cross multiply
    2,095.61x = 3,138.48 × 1,230.53
  4. Step 4: Simplify right side
    2,095.61x = 3,861,978.10
  5. Step 5: Solve for x
    x = 3,861,978.10/2,095.61
  6. Step 6: Final answer
    x = 1,842.89

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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.