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Finding the Fourth Proportional to 2,478.60, 3,717.67 and 918.62

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Solution

The fourth proportional to 2,478.60, 3,717.67 and 918.62 is: 1,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.60 : 3,717.67 = 918.62 : x
  2. Step 2: Convert to fraction form
    2,478.60/3,717.67 = 918.62/x
  3. Step 3: Cross multiply
    2,478.60x = 3,717.67 × 918.62
  4. Step 4: Simplify right side
    2,478.60x = 3,415,126.02
  5. Step 5: Solve for x
    x = 3,415,126.02/2,478.60
  6. Step 6: Final answer
    x = 1,377.84

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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.