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Finding the Fourth Proportional to 2,041.65, 3,062.58 and 743.07

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Solution

The fourth proportional to 2,041.65, 3,062.58 and 743.07 is: 1,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.65 : 3,062.58 = 743.07 : x
  2. Step 2: Convert to fraction form
    2,041.65/3,062.58 = 743.07/x
  3. Step 3: Cross multiply
    2,041.65x = 3,062.58 × 743.07
  4. Step 4: Simplify right side
    2,041.65x = 2,275,711.32
  5. Step 5: Solve for x
    x = 2,275,711.32/2,041.65
  6. Step 6: Final answer
    x = 1,114.64

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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.