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Finding the Fourth Proportional to 2,734.58, 3,773.70 and 1,492.58

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Solution

The fourth proportional to 2,734.58, 3,773.70 and 1,492.58 is: 2,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.58 : 3,773.70 = 1,492.58 : x
  2. Step 2: Convert to fraction form
    2,734.58/3,773.70 = 1,492.58/x
  3. Step 3: Cross multiply
    2,734.58x = 3,773.70 × 1,492.58
  4. Step 4: Simplify right side
    2,734.58x = 5,632,549.15
  5. Step 5: Solve for x
    x = 5,632,549.15/2,734.58
  6. Step 6: Final answer
    x = 2,059.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.