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Finding the Fourth Proportional to 1,728.29, 2,384.36 and 971.90

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Solution

The fourth proportional to 1,728.29, 2,384.36 and 971.90 is: 1,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.29 : 2,384.36 = 971.90 : x
  2. Step 2: Convert to fraction form
    1,728.29/2,384.36 = 971.90/x
  3. Step 3: Cross multiply
    1,728.29x = 2,384.36 × 971.90
  4. Step 4: Simplify right side
    1,728.29x = 2,317,358.02
  5. Step 5: Solve for x
    x = 2,317,358.02/1,728.29
  6. Step 6: Final answer
    x = 1,340.84

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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.