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Finding the Fourth Proportional to 2,797.58, 4,196.14 and 1,316.46

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Solution

The fourth proportional to 2,797.58, 4,196.14 and 1,316.46 is: 1,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.58 : 4,196.14 = 1,316.46 : x
  2. Step 2: Convert to fraction form
    2,797.58/4,196.14 = 1,316.46/x
  3. Step 3: Cross multiply
    2,797.58x = 4,196.14 × 1,316.46
  4. Step 4: Simplify right side
    2,797.58x = 5,524,047.17
  5. Step 5: Solve for x
    x = 5,524,047.17/2,797.58
  6. Step 6: Final answer
    x = 1,974.58

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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.