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Finding the Fourth Proportional to 2,078, 2,867.56 and 1,193.84

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Solution

The fourth proportional to 2,078, 2,867.56 and 1,193.84 is: 1,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 2,867.56 = 1,193.84 : x
  2. Step 2: Convert to fraction form
    2,078/2,867.56 = 1,193.84/x
  3. Step 3: Cross multiply
    2,078x = 2,867.56 × 1,193.84
  4. Step 4: Simplify right side
    2,078x = 3,423,407.83
  5. Step 5: Solve for x
    x = 3,423,407.83/2,078
  6. Step 6: Final answer
    x = 1,647.45

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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.