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Finding the Fourth Proportional to 2,125.61, 3,181.74 and 1,342.90

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Solution

The fourth proportional to 2,125.61, 3,181.74 and 1,342.90 is: 2,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.61 : 3,181.74 = 1,342.90 : x
  2. Step 2: Convert to fraction form
    2,125.61/3,181.74 = 1,342.90/x
  3. Step 3: Cross multiply
    2,125.61x = 3,181.74 × 1,342.90
  4. Step 4: Simplify right side
    2,125.61x = 4,272,758.65
  5. Step 5: Solve for x
    x = 4,272,758.65/2,125.61
  6. Step 6: Final answer
    x = 2,010.13

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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.