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Finding the Fourth Proportional to 2,444.55, 3,665.73 and 713.31

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Solution

The fourth proportional to 2,444.55, 3,665.73 and 713.31 is: 1,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.55 : 3,665.73 = 713.31 : x
  2. Step 2: Convert to fraction form
    2,444.55/3,665.73 = 713.31/x
  3. Step 3: Cross multiply
    2,444.55x = 3,665.73 × 713.31
  4. Step 4: Simplify right side
    2,444.55x = 2,614,801.87
  5. Step 5: Solve for x
    x = 2,614,801.87/2,444.55
  6. Step 6: Final answer
    x = 1,069.65

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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.