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Finding the Fourth Proportional to 2,444.18, 3,665.89 and 800.72

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Solution

The fourth proportional to 2,444.18, 3,665.89 and 800.72 is: 1,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.18 : 3,665.89 = 800.72 : x
  2. Step 2: Convert to fraction form
    2,444.18/3,665.89 = 800.72/x
  3. Step 3: Cross multiply
    2,444.18x = 3,665.89 × 800.72
  4. Step 4: Simplify right side
    2,444.18x = 2,935,347.86
  5. Step 5: Solve for x
    x = 2,935,347.86/2,444.18
  6. Step 6: Final answer
    x = 1,200.96

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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.