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Finding the Fourth Proportional to 2,117.56, 2,920.43 and 1,278.09

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Solution

The fourth proportional to 2,117.56, 2,920.43 and 1,278.09 is: 1,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.56 : 2,920.43 = 1,278.09 : x
  2. Step 2: Convert to fraction form
    2,117.56/2,920.43 = 1,278.09/x
  3. Step 3: Cross multiply
    2,117.56x = 2,920.43 × 1,278.09
  4. Step 4: Simplify right side
    2,117.56x = 3,732,572.38
  5. Step 5: Solve for x
    x = 3,732,572.38/2,117.56
  6. Step 6: Final answer
    x = 1,762.68

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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.