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Finding the Fourth Proportional to 2,178.95, 3,269.14 and 698.40

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Solution

The fourth proportional to 2,178.95, 3,269.14 and 698.40 is: 1,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.95 : 3,269.14 = 698.40 : x
  2. Step 2: Convert to fraction form
    2,178.95/3,269.14 = 698.40/x
  3. Step 3: Cross multiply
    2,178.95x = 3,269.14 × 698.40
  4. Step 4: Simplify right side
    2,178.95x = 2,283,165.63
  5. Step 5: Solve for x
    x = 2,283,165.63/2,178.95
  6. Step 6: Final answer
    x = 1,047.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.