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Finding the Fourth Proportional to 2,660.24, 3,990.35 and 712.39

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Solution

The fourth proportional to 2,660.24, 3,990.35 and 712.39 is: 1,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.24 : 3,990.35 = 712.39 : x
  2. Step 2: Convert to fraction form
    2,660.24/3,990.35 = 712.39/x
  3. Step 3: Cross multiply
    2,660.24x = 3,990.35 × 712.39
  4. Step 4: Simplify right side
    2,660.24x = 2,842,677.24
  5. Step 5: Solve for x
    x = 2,842,677.24/2,660.24
  6. Step 6: Final answer
    x = 1,068.58

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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.