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Finding the Fourth Proportional to 2,687.34, 3,708.43 and 1,492.38

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Solution

The fourth proportional to 2,687.34, 3,708.43 and 1,492.38 is: 2,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.34 : 3,708.43 = 1,492.38 : x
  2. Step 2: Convert to fraction form
    2,687.34/3,708.43 = 1,492.38/x
  3. Step 3: Cross multiply
    2,687.34x = 3,708.43 × 1,492.38
  4. Step 4: Simplify right side
    2,687.34x = 5,534,386.76
  5. Step 5: Solve for x
    x = 5,534,386.76/2,687.34
  6. Step 6: Final answer
    x = 2,059.43

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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.