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Finding the Fourth Proportional to 2,599.47, 3,586.85 and 1,480.43

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Solution

The fourth proportional to 2,599.47, 3,586.85 and 1,480.43 is: 2,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.47 : 3,586.85 = 1,480.43 : x
  2. Step 2: Convert to fraction form
    2,599.47/3,586.85 = 1,480.43/x
  3. Step 3: Cross multiply
    2,599.47x = 3,586.85 × 1,480.43
  4. Step 4: Simplify right side
    2,599.47x = 5,310,060.56
  5. Step 5: Solve for x
    x = 5,310,060.56/2,599.47
  6. Step 6: Final answer
    x = 2,042.75

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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.