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Finding the Fourth Proportional to 2,702.84, 4,046.36 and 2,443.44

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Solution

The fourth proportional to 2,702.84, 4,046.36 and 2,443.44 is: 3,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.84 : 4,046.36 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    2,702.84/4,046.36 = 2,443.44/x
  3. Step 3: Cross multiply
    2,702.84x = 4,046.36 × 2,443.44
  4. Step 4: Simplify right side
    2,702.84x = 9,887,027.76
  5. Step 5: Solve for x
    x = 9,887,027.76/2,702.84
  6. Step 6: Final answer
    x = 3,658.01

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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.