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Finding the Fourth Proportional to 2,237.30, 3,138.70 and 2,237.30

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Solution

The fourth proportional to 2,237.30, 3,138.70 and 2,237.30 is: 3,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.30 : 3,138.70 = 2,237.30 : x
  2. Step 2: Convert to fraction form
    2,237.30/3,138.70 = 2,237.30/x
  3. Step 3: Cross multiply
    2,237.30x = 3,138.70 × 2,237.30
  4. Step 4: Simplify right side
    2,237.30x = 7,022,213.51
  5. Step 5: Solve for x
    x = 7,022,213.51/2,237.30
  6. Step 6: Final answer
    x = 3,138.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.