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Finding the Fourth Proportional to 2,574.45, 3,552.80 and 1,512.99

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Solution

The fourth proportional to 2,574.45, 3,552.80 and 1,512.99 is: 2,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.45 : 3,552.80 = 1,512.99 : x
  2. Step 2: Convert to fraction form
    2,574.45/3,552.80 = 1,512.99/x
  3. Step 3: Cross multiply
    2,574.45x = 3,552.80 × 1,512.99
  4. Step 4: Simplify right side
    2,574.45x = 5,375,343.31
  5. Step 5: Solve for x
    x = 5,375,343.31/2,574.45
  6. Step 6: Final answer
    x = 2,087.96

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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.