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Finding the Fourth Proportional to 2,702.46, 3,699.68 and 2,684.24

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Solution

The fourth proportional to 2,702.46, 3,699.68 and 2,684.24 is: 3,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.46 : 3,699.68 = 2,684.24 : x
  2. Step 2: Convert to fraction form
    2,702.46/3,699.68 = 2,684.24/x
  3. Step 3: Cross multiply
    2,702.46x = 3,699.68 × 2,684.24
  4. Step 4: Simplify right side
    2,702.46x = 9,930,811.00
  5. Step 5: Solve for x
    x = 9,930,811.00/2,702.46
  6. Step 6: Final answer
    x = 3,674.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.