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Finding the Fourth Proportional to 2,364.57, 3,539.52 and 1,541.07

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Solution

The fourth proportional to 2,364.57, 3,539.52 and 1,541.07 is: 2,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.57 : 3,539.52 = 1,541.07 : x
  2. Step 2: Convert to fraction form
    2,364.57/3,539.52 = 1,541.07/x
  3. Step 3: Cross multiply
    2,364.57x = 3,539.52 × 1,541.07
  4. Step 4: Simplify right side
    2,364.57x = 5,454,648.09
  5. Step 5: Solve for x
    x = 5,454,648.09/2,364.57
  6. Step 6: Final answer
    x = 2,306.82

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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.