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Finding the Fourth Proportional to 2,530.11, 3,795.78 and 886.83

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Solution

The fourth proportional to 2,530.11, 3,795.78 and 886.83 is: 1,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.11 : 3,795.78 = 886.83 : x
  2. Step 2: Convert to fraction form
    2,530.11/3,795.78 = 886.83/x
  3. Step 3: Cross multiply
    2,530.11x = 3,795.78 × 886.83
  4. Step 4: Simplify right side
    2,530.11x = 3,366,211.58
  5. Step 5: Solve for x
    x = 3,366,211.58/2,530.11
  6. Step 6: Final answer
    x = 1,330.46

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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.