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Finding the Fourth Proportional to 2,178.40, 3,267.78 and 862.07

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Solution

The fourth proportional to 2,178.40, 3,267.78 and 862.07 is: 1,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.40 : 3,267.78 = 862.07 : x
  2. Step 2: Convert to fraction form
    2,178.40/3,267.78 = 862.07/x
  3. Step 3: Cross multiply
    2,178.40x = 3,267.78 × 862.07
  4. Step 4: Simplify right side
    2,178.40x = 2,817,055.10
  5. Step 5: Solve for x
    x = 2,817,055.10/2,178.40
  6. Step 6: Final answer
    x = 1,293.18

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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.