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Finding the Fourth Proportional to 2,774.34, 3,835.43 and 2,658.17

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Solution

The fourth proportional to 2,774.34, 3,835.43 and 2,658.17 is: 3,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.34 : 3,835.43 = 2,658.17 : x
  2. Step 2: Convert to fraction form
    2,774.34/3,835.43 = 2,658.17/x
  3. Step 3: Cross multiply
    2,774.34x = 3,835.43 × 2,658.17
  4. Step 4: Simplify right side
    2,774.34x = 10,195,192.50
  5. Step 5: Solve for x
    x = 10,195,192.50/2,774.34
  6. Step 6: Final answer
    x = 3,674.82

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