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Finding the Fourth Proportional to 2,213.76, 3,056.76 and 1,552.80

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Solution

The fourth proportional to 2,213.76, 3,056.76 and 1,552.80 is: 2,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.76 : 3,056.76 = 1,552.80 : x
  2. Step 2: Convert to fraction form
    2,213.76/3,056.76 = 1,552.80/x
  3. Step 3: Cross multiply
    2,213.76x = 3,056.76 × 1,552.80
  4. Step 4: Simplify right side
    2,213.76x = 4,746,536.93
  5. Step 5: Solve for x
    x = 4,746,536.93/2,213.76
  6. Step 6: Final answer
    x = 2,144.11

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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.