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Finding the Fourth Proportional to 2,444.46, 3,665.31 and 1,056.93

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Solution

The fourth proportional to 2,444.46, 3,665.31 and 1,056.93 is: 1,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.46 : 3,665.31 = 1,056.93 : x
  2. Step 2: Convert to fraction form
    2,444.46/3,665.31 = 1,056.93/x
  3. Step 3: Cross multiply
    2,444.46x = 3,665.31 × 1,056.93
  4. Step 4: Simplify right side
    2,444.46x = 3,873,976.10
  5. Step 5: Solve for x
    x = 3,873,976.10/2,444.46
  6. Step 6: Final answer
    x = 1,584.80

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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.