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Finding the Fourth Proportional to 2,549.91, 3,519.03 and 1,430.92

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Solution

The fourth proportional to 2,549.91, 3,519.03 and 1,430.92 is: 1,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.91 : 3,519.03 = 1,430.92 : x
  2. Step 2: Convert to fraction form
    2,549.91/3,519.03 = 1,430.92/x
  3. Step 3: Cross multiply
    2,549.91x = 3,519.03 × 1,430.92
  4. Step 4: Simplify right side
    2,549.91x = 5,035,432.33
  5. Step 5: Solve for x
    x = 5,035,432.33/2,549.91
  6. Step 6: Final answer
    x = 1,974.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.