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Finding the Fourth Proportional to 2,684.94, 3,706.93 and 2,404.68

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Solution

The fourth proportional to 2,684.94, 3,706.93 and 2,404.68 is: 3,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.94 : 3,706.93 = 2,404.68 : x
  2. Step 2: Convert to fraction form
    2,684.94/3,706.93 = 2,404.68/x
  3. Step 3: Cross multiply
    2,684.94x = 3,706.93 × 2,404.68
  4. Step 4: Simplify right side
    2,684.94x = 8,913,961.90
  5. Step 5: Solve for x
    x = 8,913,961.90/2,684.94
  6. Step 6: Final answer
    x = 3,319.99

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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.