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Finding the Fourth Proportional to 1,792.64, 2,684.86 and 1,612.22

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Solution

The fourth proportional to 1,792.64, 2,684.86 and 1,612.22 is: 2,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.64 : 2,684.86 = 1,612.22 : x
  2. Step 2: Convert to fraction form
    1,792.64/2,684.86 = 1,612.22/x
  3. Step 3: Cross multiply
    1,792.64x = 2,684.86 × 1,612.22
  4. Step 4: Simplify right side
    1,792.64x = 4,328,567.53
  5. Step 5: Solve for x
    x = 4,328,567.53/1,792.64
  6. Step 6: Final answer
    x = 2,414.63

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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.