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Finding the Fourth Proportional to 2,078, 2,867.95 and 1,332.80

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Solution

The fourth proportional to 2,078, 2,867.95 and 1,332.80 is: 1,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 2,867.95 = 1,332.80 : x
  2. Step 2: Convert to fraction form
    2,078/2,867.95 = 1,332.80/x
  3. Step 3: Cross multiply
    2,078x = 2,867.95 × 1,332.80
  4. Step 4: Simplify right side
    2,078x = 3,822,403.76
  5. Step 5: Solve for x
    x = 3,822,403.76/2,078
  6. Step 6: Final answer
    x = 1,839.46

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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.