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Finding the Fourth Proportional to 2,677.68, 3,694.58 and 1,558

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Solution

The fourth proportional to 2,677.68, 3,694.58 and 1,558 is: 2,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.68 : 3,694.58 = 1,558 : x
  2. Step 2: Convert to fraction form
    2,677.68/3,694.58 = 1,558/x
  3. Step 3: Cross multiply
    2,677.68x = 3,694.58 × 1,558
  4. Step 4: Simplify right side
    2,677.68x = 5,756,155.64
  5. Step 5: Solve for x
    x = 5,756,155.64/2,677.68
  6. Step 6: Final answer
    x = 2,149.68

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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.