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Finding the Fourth Proportional to 2,852.34, 3,937.86 and 2,174.82

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Solution

The fourth proportional to 2,852.34, 3,937.86 and 2,174.82 is: 3,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.34 : 3,937.86 = 2,174.82 : x
  2. Step 2: Convert to fraction form
    2,852.34/3,937.86 = 2,174.82/x
  3. Step 3: Cross multiply
    2,852.34x = 3,937.86 × 2,174.82
  4. Step 4: Simplify right side
    2,852.34x = 8,564,136.69
  5. Step 5: Solve for x
    x = 8,564,136.69/2,852.34
  6. Step 6: Final answer
    x = 3,002.50

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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.