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Finding the Fourth Proportional to 1,975.57, 2,962.51 and 879.18

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Solution

The fourth proportional to 1,975.57, 2,962.51 and 879.18 is: 1,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.57 : 2,962.51 = 879.18 : x
  2. Step 2: Convert to fraction form
    1,975.57/2,962.51 = 879.18/x
  3. Step 3: Cross multiply
    1,975.57x = 2,962.51 × 879.18
  4. Step 4: Simplify right side
    1,975.57x = 2,604,579.54
  5. Step 5: Solve for x
    x = 2,604,579.54/1,975.57
  6. Step 6: Final answer
    x = 1,318.39

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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.