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Finding the Fourth Proportional to 2,054.97, 3,089.14 and 1,648.55

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Solution

The fourth proportional to 2,054.97, 3,089.14 and 1,648.55 is: 2,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.97 : 3,089.14 = 1,648.55 : x
  2. Step 2: Convert to fraction form
    2,054.97/3,089.14 = 1,648.55/x
  3. Step 3: Cross multiply
    2,054.97x = 3,089.14 × 1,648.55
  4. Step 4: Simplify right side
    2,054.97x = 5,092,605.35
  5. Step 5: Solve for x
    x = 5,092,605.35/2,054.97
  6. Step 6: Final answer
    x = 2,478.19

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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.