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Finding the Fourth Proportional to 2,846.01, 4,270.92 and 997.13

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Solution

The fourth proportional to 2,846.01, 4,270.92 and 997.13 is: 1,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.01 : 4,270.92 = 997.13 : x
  2. Step 2: Convert to fraction form
    2,846.01/4,270.92 = 997.13/x
  3. Step 3: Cross multiply
    2,846.01x = 4,270.92 × 997.13
  4. Step 4: Simplify right side
    2,846.01x = 4,258,641.11
  5. Step 5: Solve for x
    x = 4,258,641.11/2,846.01
  6. Step 6: Final answer
    x = 1,496.35

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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.