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Finding the Fourth Proportional to 2,191.93, 3,271.88 and 1,901.48

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Solution

The fourth proportional to 2,191.93, 3,271.88 and 1,901.48 is: 2,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.93 : 3,271.88 = 1,901.48 : x
  2. Step 2: Convert to fraction form
    2,191.93/3,271.88 = 1,901.48/x
  3. Step 3: Cross multiply
    2,191.93x = 3,271.88 × 1,901.48
  4. Step 4: Simplify right side
    2,191.93x = 6,221,402.78
  5. Step 5: Solve for x
    x = 6,221,402.78/2,191.93
  6. Step 6: Final answer
    x = 2,838.33

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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.