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Finding the Fourth Proportional to 2,968, 4,452.76 and 1,119.13

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Solution

The fourth proportional to 2,968, 4,452.76 and 1,119.13 is: 1,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968 : 4,452.76 = 1,119.13 : x
  2. Step 2: Convert to fraction form
    2,968/4,452.76 = 1,119.13/x
  3. Step 3: Cross multiply
    2,968x = 4,452.76 × 1,119.13
  4. Step 4: Simplify right side
    2,968x = 4,983,217.30
  5. Step 5: Solve for x
    x = 4,983,217.30/2,968
  6. Step 6: Final answer
    x = 1,678.98

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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.