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Finding the Fourth Proportional to 2,175.27, 3,264.27 and 1,252.64

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Solution

The fourth proportional to 2,175.27, 3,264.27 and 1,252.64 is: 1,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.27 : 3,264.27 = 1,252.64 : x
  2. Step 2: Convert to fraction form
    2,175.27/3,264.27 = 1,252.64/x
  3. Step 3: Cross multiply
    2,175.27x = 3,264.27 × 1,252.64
  4. Step 4: Simplify right side
    2,175.27x = 4,088,955.17
  5. Step 5: Solve for x
    x = 4,088,955.17/2,175.27
  6. Step 6: Final answer
    x = 1,879.75

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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.