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Finding the Fourth Proportional to 2,938.74, 4,407.90 and 1,705.38

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Solution

The fourth proportional to 2,938.74, 4,407.90 and 1,705.38 is: 2,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.74 : 4,407.90 = 1,705.38 : x
  2. Step 2: Convert to fraction form
    2,938.74/4,407.90 = 1,705.38/x
  3. Step 3: Cross multiply
    2,938.74x = 4,407.90 × 1,705.38
  4. Step 4: Simplify right side
    2,938.74x = 7,517,144.50
  5. Step 5: Solve for x
    x = 7,517,144.50/2,938.74
  6. Step 6: Final answer
    x = 2,557.95

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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.