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Finding the Fourth Proportional to 2,812.58, 4,218.65 and 1,169.06

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Solution

The fourth proportional to 2,812.58, 4,218.65 and 1,169.06 is: 1,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.58 : 4,218.65 = 1,169.06 : x
  2. Step 2: Convert to fraction form
    2,812.58/4,218.65 = 1,169.06/x
  3. Step 3: Cross multiply
    2,812.58x = 4,218.65 × 1,169.06
  4. Step 4: Simplify right side
    2,812.58x = 4,931,832.41
  5. Step 5: Solve for x
    x = 4,931,832.41/2,812.58
  6. Step 6: Final answer
    x = 1,753.49

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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.