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Finding the Fourth Proportional to 3,074.66, 4,242.81 and 1,815.65

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Solution

The fourth proportional to 3,074.66, 4,242.81 and 1,815.65 is: 2,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.66 : 4,242.81 = 1,815.65 : x
  2. Step 2: Convert to fraction form
    3,074.66/4,242.81 = 1,815.65/x
  3. Step 3: Cross multiply
    3,074.66x = 4,242.81 × 1,815.65
  4. Step 4: Simplify right side
    3,074.66x = 7,703,436.76
  5. Step 5: Solve for x
    x = 7,703,436.76/3,074.66
  6. Step 6: Final answer
    x = 2,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.