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Finding the Fourth Proportional to 1,717.71, 2,574.15 and 1,546.99

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Solution

The fourth proportional to 1,717.71, 2,574.15 and 1,546.99 is: 2,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.71 : 2,574.15 = 1,546.99 : x
  2. Step 2: Convert to fraction form
    1,717.71/2,574.15 = 1,546.99/x
  3. Step 3: Cross multiply
    1,717.71x = 2,574.15 × 1,546.99
  4. Step 4: Simplify right side
    1,717.71x = 3,982,184.31
  5. Step 5: Solve for x
    x = 3,982,184.31/1,717.71
  6. Step 6: Final answer
    x = 2,318.31

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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.