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Finding the Fourth Proportional to 3,271.80, 4,515.54 and 2,154.40

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Solution

The fourth proportional to 3,271.80, 4,515.54 and 2,154.40 is: 2,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.80 : 4,515.54 = 2,154.40 : x
  2. Step 2: Convert to fraction form
    3,271.80/4,515.54 = 2,154.40/x
  3. Step 3: Cross multiply
    3,271.80x = 4,515.54 × 2,154.40
  4. Step 4: Simplify right side
    3,271.80x = 9,728,279.38
  5. Step 5: Solve for x
    x = 9,728,279.38/3,271.80
  6. Step 6: Final answer
    x = 2,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.