Home / 1,728.61-2,384.78-981.97

Finding the Fourth Proportional to 1,728.61, 2,384.78 and 981.97

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Solution

The fourth proportional to 1,728.61, 2,384.78 and 981.97 is: 1,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.61 : 2,384.78 = 981.97 : x
  2. Step 2: Convert to fraction form
    1,728.61/2,384.78 = 981.97/x
  3. Step 3: Cross multiply
    1,728.61x = 2,384.78 × 981.97
  4. Step 4: Simplify right side
    1,728.61x = 2,341,771.54
  5. Step 5: Solve for x
    x = 2,341,771.54/1,728.61
  6. Step 6: Final answer
    x = 1,354.72

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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.