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Finding the Fourth Proportional to 2,898.51, 4,347.11 and 818.73

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Solution

The fourth proportional to 2,898.51, 4,347.11 and 818.73 is: 1,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.51 : 4,347.11 = 818.73 : x
  2. Step 2: Convert to fraction form
    2,898.51/4,347.11 = 818.73/x
  3. Step 3: Cross multiply
    2,898.51x = 4,347.11 × 818.73
  4. Step 4: Simplify right side
    2,898.51x = 3,559,105.28
  5. Step 5: Solve for x
    x = 3,559,105.28/2,898.51
  6. Step 6: Final answer
    x = 1,227.91

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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.