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Finding the Fourth Proportional to 1,954.74, 2,931 and 1,724.16

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Solution

The fourth proportional to 1,954.74, 2,931 and 1,724.16 is: 2,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.74 : 2,931 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    1,954.74/2,931 = 1,724.16/x
  3. Step 3: Cross multiply
    1,954.74x = 2,931 × 1,724.16
  4. Step 4: Simplify right side
    1,954.74x = 5,053,512.96
  5. Step 5: Solve for x
    x = 5,053,512.96/1,954.74
  6. Step 6: Final answer
    x = 2,585.26

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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.