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Finding the Fourth Proportional to 2,012.65, 3,019.40 and 607.11

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Solution

The fourth proportional to 2,012.65, 3,019.40 and 607.11 is: 910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.65 : 3,019.40 = 607.11 : x
  2. Step 2: Convert to fraction form
    2,012.65/3,019.40 = 607.11/x
  3. Step 3: Cross multiply
    2,012.65x = 3,019.40 × 607.11
  4. Step 4: Simplify right side
    2,012.65x = 1,833,107.93
  5. Step 5: Solve for x
    x = 1,833,107.93/2,012.65
  6. Step 6: Final answer
    x = 910.79

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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.