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Finding the Fourth Proportional to 2,918.54, 4,378.02 and 838.53

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Solution

The fourth proportional to 2,918.54, 4,378.02 and 838.53 is: 1,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.54 : 4,378.02 = 838.53 : x
  2. Step 2: Convert to fraction form
    2,918.54/4,378.02 = 838.53/x
  3. Step 3: Cross multiply
    2,918.54x = 4,378.02 × 838.53
  4. Step 4: Simplify right side
    2,918.54x = 3,671,079.22
  5. Step 5: Solve for x
    x = 3,671,079.22/2,918.54
  6. Step 6: Final answer
    x = 1,257.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.