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Finding the Fourth Proportional to 2,258.70, 3,122.19 and 2,258.70

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Solution

The fourth proportional to 2,258.70, 3,122.19 and 2,258.70 is: 3,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.70 : 3,122.19 = 2,258.70 : x
  2. Step 2: Convert to fraction form
    2,258.70/3,122.19 = 2,258.70/x
  3. Step 3: Cross multiply
    2,258.70x = 3,122.19 × 2,258.70
  4. Step 4: Simplify right side
    2,258.70x = 7,052,090.55
  5. Step 5: Solve for x
    x = 7,052,090.55/2,258.70
  6. Step 6: Final answer
    x = 3,122.19

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1.5x scale

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.