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Finding the Fourth Proportional to 1,747.63, 2,422.11 and 1,714.82

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Solution

The fourth proportional to 1,747.63, 2,422.11 and 1,714.82 is: 2,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.63 : 2,422.11 = 1,714.82 : x
  2. Step 2: Convert to fraction form
    1,747.63/2,422.11 = 1,714.82/x
  3. Step 3: Cross multiply
    1,747.63x = 2,422.11 × 1,714.82
  4. Step 4: Simplify right side
    1,747.63x = 4,153,488.73
  5. Step 5: Solve for x
    x = 4,153,488.73/1,747.63
  6. Step 6: Final answer
    x = 2,376.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.