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Finding the Fourth Proportional to 2,484.42, 3,725.76 and 1,167.75

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Solution

The fourth proportional to 2,484.42, 3,725.76 and 1,167.75 is: 1,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.42 : 3,725.76 = 1,167.75 : x
  2. Step 2: Convert to fraction form
    2,484.42/3,725.76 = 1,167.75/x
  3. Step 3: Cross multiply
    2,484.42x = 3,725.76 × 1,167.75
  4. Step 4: Simplify right side
    2,484.42x = 4,350,756.24
  5. Step 5: Solve for x
    x = 4,350,756.24/2,484.42
  6. Step 6: Final answer
    x = 1,751.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.