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Finding the Fourth Proportional to 2,266.14, 3,128.14 and 2,203.72

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Solution

The fourth proportional to 2,266.14, 3,128.14 and 2,203.72 is: 3,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.14 : 3,128.14 = 2,203.72 : x
  2. Step 2: Convert to fraction form
    2,266.14/3,128.14 = 2,203.72/x
  3. Step 3: Cross multiply
    2,266.14x = 3,128.14 × 2,203.72
  4. Step 4: Simplify right side
    2,266.14x = 6,893,544.68
  5. Step 5: Solve for x
    x = 6,893,544.68/2,266.14
  6. Step 6: Final answer
    x = 3,041.98

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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.