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Finding the Fourth Proportional to 2,369.22, 3,267.74 and 2,264.54

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Solution

The fourth proportional to 2,369.22, 3,267.74 and 2,264.54 is: 3,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.22 : 3,267.74 = 2,264.54 : x
  2. Step 2: Convert to fraction form
    2,369.22/3,267.74 = 2,264.54/x
  3. Step 3: Cross multiply
    2,369.22x = 3,267.74 × 2,264.54
  4. Step 4: Simplify right side
    2,369.22x = 7,399,900.28
  5. Step 5: Solve for x
    x = 7,399,900.28/2,369.22
  6. Step 6: Final answer
    x = 3,123.35

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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.