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Finding the Fourth Proportional to 2,065.87, 3,098.85 and 605.14

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Solution

The fourth proportional to 2,065.87, 3,098.85 and 605.14 is: 907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.87 : 3,098.85 = 605.14 : x
  2. Step 2: Convert to fraction form
    2,065.87/3,098.85 = 605.14/x
  3. Step 3: Cross multiply
    2,065.87x = 3,098.85 × 605.14
  4. Step 4: Simplify right side
    2,065.87x = 1,875,238.09
  5. Step 5: Solve for x
    x = 1,875,238.09/2,065.87
  6. Step 6: Final answer
    x = 907.72

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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.