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Finding the Fourth Proportional to 2,912.70, 4,369.05 and 1,616.70

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Solution

The fourth proportional to 2,912.70, 4,369.05 and 1,616.70 is: 2,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 4,369.05 = 1,616.70 : x
  2. Step 2: Convert to fraction form
    2,912.70/4,369.05 = 1,616.70/x
  3. Step 3: Cross multiply
    2,912.70x = 4,369.05 × 1,616.70
  4. Step 4: Simplify right side
    2,912.70x = 7,063,443.14
  5. Step 5: Solve for x
    x = 7,063,443.14/2,912.70
  6. Step 6: Final answer
    x = 2,425.05

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1.5x scale

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.