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Finding the Fourth Proportional to 2,441.61, 3,660.90 and 1,054.18

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Solution

The fourth proportional to 2,441.61, 3,660.90 and 1,054.18 is: 1,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.61 : 3,660.90 = 1,054.18 : x
  2. Step 2: Convert to fraction form
    2,441.61/3,660.90 = 1,054.18/x
  3. Step 3: Cross multiply
    2,441.61x = 3,660.90 × 1,054.18
  4. Step 4: Simplify right side
    2,441.61x = 3,859,248.18
  5. Step 5: Solve for x
    x = 3,859,248.18/2,441.61
  6. Step 6: Final answer
    x = 1,580.62

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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.