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Finding the Fourth Proportional to 1,978.76, 2,730.66 and 1,193.24

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Solution

The fourth proportional to 1,978.76, 2,730.66 and 1,193.24 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.76 : 2,730.66 = 1,193.24 : x
  2. Step 2: Convert to fraction form
    1,978.76/2,730.66 = 1,193.24/x
  3. Step 3: Cross multiply
    1,978.76x = 2,730.66 × 1,193.24
  4. Step 4: Simplify right side
    1,978.76x = 3,258,332.74
  5. Step 5: Solve for x
    x = 3,258,332.74/1,978.76
  6. Step 6: Final answer
    x = 1,646.65

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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.