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Finding the Fourth Proportional to 1,728.36, 2,384.43 and 981.71

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Solution

The fourth proportional to 1,728.36, 2,384.43 and 981.71 is: 1,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.36 : 2,384.43 = 981.71 : x
  2. Step 2: Convert to fraction form
    1,728.36/2,384.43 = 981.71/x
  3. Step 3: Cross multiply
    1,728.36x = 2,384.43 × 981.71
  4. Step 4: Simplify right side
    1,728.36x = 2,340,818.78
  5. Step 5: Solve for x
    x = 2,340,818.78/1,728.36
  6. Step 6: Final answer
    x = 1,354.36

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1.5x scale

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.