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Finding the Fourth Proportional to 1,924.75, 2,656.20 and 1,178.69

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Solution

The fourth proportional to 1,924.75, 2,656.20 and 1,178.69 is: 1,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.75 : 2,656.20 = 1,178.69 : x
  2. Step 2: Convert to fraction form
    1,924.75/2,656.20 = 1,178.69/x
  3. Step 3: Cross multiply
    1,924.75x = 2,656.20 × 1,178.69
  4. Step 4: Simplify right side
    1,924.75x = 3,130,836.38
  5. Step 5: Solve for x
    x = 3,130,836.38/1,924.75
  6. Step 6: Final answer
    x = 1,626.62

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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.