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Finding the Fourth Proportional to 2,869.61, 4,302.06 and 2,706.63

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Solution

The fourth proportional to 2,869.61, 4,302.06 and 2,706.63 is: 4,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.61 : 4,302.06 = 2,706.63 : x
  2. Step 2: Convert to fraction form
    2,869.61/4,302.06 = 2,706.63/x
  3. Step 3: Cross multiply
    2,869.61x = 4,302.06 × 2,706.63
  4. Step 4: Simplify right side
    2,869.61x = 11,644,084.66
  5. Step 5: Solve for x
    x = 11,644,084.66/2,869.61
  6. Step 6: Final answer
    x = 4,057.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.