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Finding the Fourth Proportional to 2,402.34, 3,314.34 and 1,774.38

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Solution

The fourth proportional to 2,402.34, 3,314.34 and 1,774.38 is: 2,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.34 : 3,314.34 = 1,774.38 : x
  2. Step 2: Convert to fraction form
    2,402.34/3,314.34 = 1,774.38/x
  3. Step 3: Cross multiply
    2,402.34x = 3,314.34 × 1,774.38
  4. Step 4: Simplify right side
    2,402.34x = 5,880,898.61
  5. Step 5: Solve for x
    x = 5,880,898.61/2,402.34
  6. Step 6: Final answer
    x = 2,447.99

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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.