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Finding the Fourth Proportional to 2,195.29, 3,290.50 and 1,373.95

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Solution

The fourth proportional to 2,195.29, 3,290.50 and 1,373.95 is: 2,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.29 : 3,290.50 = 1,373.95 : x
  2. Step 2: Convert to fraction form
    2,195.29/3,290.50 = 1,373.95/x
  3. Step 3: Cross multiply
    2,195.29x = 3,290.50 × 1,373.95
  4. Step 4: Simplify right side
    2,195.29x = 4,520,982.48
  5. Step 5: Solve for x
    x = 4,520,982.48/2,195.29
  6. Step 6: Final answer
    x = 2,059.40

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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.