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Finding the Fourth Proportional to 2,911.80, 4,017.38 and 1,652.79

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Solution

The fourth proportional to 2,911.80, 4,017.38 and 1,652.79 is: 2,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.80 : 4,017.38 = 1,652.79 : x
  2. Step 2: Convert to fraction form
    2,911.80/4,017.38 = 1,652.79/x
  3. Step 3: Cross multiply
    2,911.80x = 4,017.38 × 1,652.79
  4. Step 4: Simplify right side
    2,911.80x = 6,639,877.23
  5. Step 5: Solve for x
    x = 6,639,877.23/2,911.80
  6. Step 6: Final answer
    x = 2,280.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.