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Finding the Fourth Proportional to 2,803.55, 3,864.24 and 2,568.24

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Solution

The fourth proportional to 2,803.55, 3,864.24 and 2,568.24 is: 3,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.55 : 3,864.24 = 2,568.24 : x
  2. Step 2: Convert to fraction form
    2,803.55/3,864.24 = 2,568.24/x
  3. Step 3: Cross multiply
    2,803.55x = 3,864.24 × 2,568.24
  4. Step 4: Simplify right side
    2,803.55x = 9,924,295.74
  5. Step 5: Solve for x
    x = 9,924,295.74/2,803.55
  6. Step 6: Final answer
    x = 3,539.91

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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.