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Finding the Fourth Proportional to 2,671.68, 4,007.60 and 723.88

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Solution

The fourth proportional to 2,671.68, 4,007.60 and 723.88 is: 1,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.68 : 4,007.60 = 723.88 : x
  2. Step 2: Convert to fraction form
    2,671.68/4,007.60 = 723.88/x
  3. Step 3: Cross multiply
    2,671.68x = 4,007.60 × 723.88
  4. Step 4: Simplify right side
    2,671.68x = 2,901,021.49
  5. Step 5: Solve for x
    x = 2,901,021.49/2,671.68
  6. Step 6: Final answer
    x = 1,085.84

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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.