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Finding the Fourth Proportional to 2,443.84, 3,665.68 and 712.48

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Solution

The fourth proportional to 2,443.84, 3,665.68 and 712.48 is: 1,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.84 : 3,665.68 = 712.48 : x
  2. Step 2: Convert to fraction form
    2,443.84/3,665.68 = 712.48/x
  3. Step 3: Cross multiply
    2,443.84x = 3,665.68 × 712.48
  4. Step 4: Simplify right side
    2,443.84x = 2,611,723.69
  5. Step 5: Solve for x
    x = 2,611,723.69/2,443.84
  6. Step 6: Final answer
    x = 1,068.70

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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.