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Finding the Fourth Proportional to 2,671.48, 4,007.36 and 823.86

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Solution

The fourth proportional to 2,671.48, 4,007.36 and 823.86 is: 1,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.48 : 4,007.36 = 823.86 : x
  2. Step 2: Convert to fraction form
    2,671.48/4,007.36 = 823.86/x
  3. Step 3: Cross multiply
    2,671.48x = 4,007.36 × 823.86
  4. Step 4: Simplify right side
    2,671.48x = 3,301,503.61
  5. Step 5: Solve for x
    x = 3,301,503.61/2,671.48
  6. Step 6: Final answer
    x = 1,235.83

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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.