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Finding the Fourth Proportional to 2,482.74, 3,722.76 and 1,605.12

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Solution

The fourth proportional to 2,482.74, 3,722.76 and 1,605.12 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.74 : 3,722.76 = 1,605.12 : x
  2. Step 2: Convert to fraction form
    2,482.74/3,722.76 = 1,605.12/x
  3. Step 3: Cross multiply
    2,482.74x = 3,722.76 × 1,605.12
  4. Step 4: Simplify right side
    2,482.74x = 5,975,476.53
  5. Step 5: Solve for x
    x = 5,975,476.53/2,482.74
  6. Step 6: Final answer
    x = 2,406.81

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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.