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Finding the Fourth Proportional to 2,364.56, 3,539.54 and 1,541.06

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Solution

The fourth proportional to 2,364.56, 3,539.54 and 1,541.06 is: 2,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.56 : 3,539.54 = 1,541.06 : x
  2. Step 2: Convert to fraction form
    2,364.56/3,539.54 = 1,541.06/x
  3. Step 3: Cross multiply
    2,364.56x = 3,539.54 × 1,541.06
  4. Step 4: Simplify right side
    2,364.56x = 5,454,643.51
  5. Step 5: Solve for x
    x = 5,454,643.51/2,364.56
  6. Step 6: Final answer
    x = 2,306.83

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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.