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Finding the Fourth Proportional to 3,196.35, 4,794.53 and 975.19

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Solution

The fourth proportional to 3,196.35, 4,794.53 and 975.19 is: 1,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.35 : 4,794.53 = 975.19 : x
  2. Step 2: Convert to fraction form
    3,196.35/4,794.53 = 975.19/x
  3. Step 3: Cross multiply
    3,196.35x = 4,794.53 × 975.19
  4. Step 4: Simplify right side
    3,196.35x = 4,675,577.71
  5. Step 5: Solve for x
    x = 4,675,577.71/3,196.35
  6. Step 6: Final answer
    x = 1,462.79

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Similar ratio
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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.