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Finding the Fourth Proportional to 2,552.57, 3,828.35 and 703.22

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Solution

The fourth proportional to 2,552.57, 3,828.35 and 703.22 is: 1,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.57 : 3,828.35 = 703.22 : x
  2. Step 2: Convert to fraction form
    2,552.57/3,828.35 = 703.22/x
  3. Step 3: Cross multiply
    2,552.57x = 3,828.35 × 703.22
  4. Step 4: Simplify right side
    2,552.57x = 2,692,183.62
  5. Step 5: Solve for x
    x = 2,692,183.62/2,552.57
  6. Step 6: Final answer
    x = 1,054.70

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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.