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Finding the Fourth Proportional to 1,967.96, 2,937.54 and 1,734.42

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Solution

The fourth proportional to 1,967.96, 2,937.54 and 1,734.42 is: 2,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.96 : 2,937.54 = 1,734.42 : x
  2. Step 2: Convert to fraction form
    1,967.96/2,937.54 = 1,734.42/x
  3. Step 3: Cross multiply
    1,967.96x = 2,937.54 × 1,734.42
  4. Step 4: Simplify right side
    1,967.96x = 5,094,943.21
  5. Step 5: Solve for x
    x = 5,094,943.21/1,967.96
  6. Step 6: Final answer
    x = 2,588.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.