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Finding the Fourth Proportional to 2,812.84, 4,216.14 and 1,168.52

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Solution

The fourth proportional to 2,812.84, 4,216.14 and 1,168.52 is: 1,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.84 : 4,216.14 = 1,168.52 : x
  2. Step 2: Convert to fraction form
    2,812.84/4,216.14 = 1,168.52/x
  3. Step 3: Cross multiply
    2,812.84x = 4,216.14 × 1,168.52
  4. Step 4: Simplify right side
    2,812.84x = 4,926,643.91
  5. Step 5: Solve for x
    x = 4,926,643.91/2,812.84
  6. Step 6: Final answer
    x = 1,751.48

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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.