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Finding the Fourth Proportional to 1,962.76, 2,708.64 and 1,078.56

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Solution

The fourth proportional to 1,962.76, 2,708.64 and 1,078.56 is: 1,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.76 : 2,708.64 = 1,078.56 : x
  2. Step 2: Convert to fraction form
    1,962.76/2,708.64 = 1,078.56/x
  3. Step 3: Cross multiply
    1,962.76x = 2,708.64 × 1,078.56
  4. Step 4: Simplify right side
    1,962.76x = 2,921,430.76
  5. Step 5: Solve for x
    x = 2,921,430.76/1,962.76
  6. Step 6: Final answer
    x = 1,488.43

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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.