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Finding the Fourth Proportional to 2,015.65, 3,023.99 and 976.15

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Solution

The fourth proportional to 2,015.65, 3,023.99 and 976.15 is: 1,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.65 : 3,023.99 = 976.15 : x
  2. Step 2: Convert to fraction form
    2,015.65/3,023.99 = 976.15/x
  3. Step 3: Cross multiply
    2,015.65x = 3,023.99 × 976.15
  4. Step 4: Simplify right side
    2,015.65x = 2,951,867.84
  5. Step 5: Solve for x
    x = 2,951,867.84/2,015.65
  6. Step 6: Final answer
    x = 1,464.47

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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.