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Finding the Fourth Proportional to 2,918.66, 4,376.68 and 838.19

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Solution

The fourth proportional to 2,918.66, 4,376.68 and 838.19 is: 1,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.66 : 4,376.68 = 838.19 : x
  2. Step 2: Convert to fraction form
    2,918.66/4,376.68 = 838.19/x
  3. Step 3: Cross multiply
    2,918.66x = 4,376.68 × 838.19
  4. Step 4: Simplify right side
    2,918.66x = 3,668,489.41
  5. Step 5: Solve for x
    x = 3,668,489.41/2,918.66
  6. Step 6: Final answer
    x = 1,256.91

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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.