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Finding the Fourth Proportional to 2,610.49, 3,915.72 and 1,734.70

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Solution

The fourth proportional to 2,610.49, 3,915.72 and 1,734.70 is: 2,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.49 : 3,915.72 = 1,734.70 : x
  2. Step 2: Convert to fraction form
    2,610.49/3,915.72 = 1,734.70/x
  3. Step 3: Cross multiply
    2,610.49x = 3,915.72 × 1,734.70
  4. Step 4: Simplify right side
    2,610.49x = 6,792,599.48
  5. Step 5: Solve for x
    x = 6,792,599.48/2,610.49
  6. Step 6: Final answer
    x = 2,602.04

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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.