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Finding the Fourth Proportional to 3,284.96, 4,927.32 and 976.40

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Solution

The fourth proportional to 3,284.96, 4,927.32 and 976.40 is: 1,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.96 : 4,927.32 = 976.40 : x
  2. Step 2: Convert to fraction form
    3,284.96/4,927.32 = 976.40/x
  3. Step 3: Cross multiply
    3,284.96x = 4,927.32 × 976.40
  4. Step 4: Simplify right side
    3,284.96x = 4,811,035.25
  5. Step 5: Solve for x
    x = 4,811,035.25/3,284.96
  6. Step 6: Final answer
    x = 1,464.56

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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.