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Finding the Fourth Proportional to 2,589.89, 3,886.52 and 1,356.93

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Solution

The fourth proportional to 2,589.89, 3,886.52 and 1,356.93 is: 2,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,886.52 = 1,356.93 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,886.52 = 1,356.93/x
  3. Step 3: Cross multiply
    2,589.89x = 3,886.52 × 1,356.93
  4. Step 4: Simplify right side
    2,589.89x = 5,273,728.80
  5. Step 5: Solve for x
    x = 5,273,728.80/2,589.89
  6. Step 6: Final answer
    x = 2,036.28

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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.