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Finding the Fourth Proportional to 2,065.77, 3,098.31 and 604.58

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Solution

The fourth proportional to 2,065.77, 3,098.31 and 604.58 is: 906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.77 : 3,098.31 = 604.58 : x
  2. Step 2: Convert to fraction form
    2,065.77/3,098.31 = 604.58/x
  3. Step 3: Cross multiply
    2,065.77x = 3,098.31 × 604.58
  4. Step 4: Simplify right side
    2,065.77x = 1,873,160.77
  5. Step 5: Solve for x
    x = 1,873,160.77/2,065.77
  6. Step 6: Final answer
    x = 906.76

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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.