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Finding the Fourth Proportional to 2,818.49, 3,889.53 and 1,699.20

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Solution

The fourth proportional to 2,818.49, 3,889.53 and 1,699.20 is: 2,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.49 : 3,889.53 = 1,699.20 : x
  2. Step 2: Convert to fraction form
    2,818.49/3,889.53 = 1,699.20/x
  3. Step 3: Cross multiply
    2,818.49x = 3,889.53 × 1,699.20
  4. Step 4: Simplify right side
    2,818.49x = 6,609,089.38
  5. Step 5: Solve for x
    x = 6,609,089.38/2,818.49
  6. Step 6: Final answer
    x = 2,344.91

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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.