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Finding the Fourth Proportional to 2,377.84, 3,564.76 and 1,078.96

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Solution

The fourth proportional to 2,377.84, 3,564.76 and 1,078.96 is: 1,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.84 : 3,564.76 = 1,078.96 : x
  2. Step 2: Convert to fraction form
    2,377.84/3,564.76 = 1,078.96/x
  3. Step 3: Cross multiply
    2,377.84x = 3,564.76 × 1,078.96
  4. Step 4: Simplify right side
    2,377.84x = 3,846,233.45
  5. Step 5: Solve for x
    x = 3,846,233.45/2,377.84
  6. Step 6: Final answer
    x = 1,617.53

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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.