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Finding the Fourth Proportional to 1,462.56, 2,019.16 and 1,015.08

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Solution

The fourth proportional to 1,462.56, 2,019.16 and 1,015.08 is: 1,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.56 : 2,019.16 = 1,015.08 : x
  2. Step 2: Convert to fraction form
    1,462.56/2,019.16 = 1,015.08/x
  3. Step 3: Cross multiply
    1,462.56x = 2,019.16 × 1,015.08
  4. Step 4: Simplify right side
    1,462.56x = 2,049,608.93
  5. Step 5: Solve for x
    x = 2,049,608.93/1,462.56
  6. Step 6: Final answer
    x = 1,401.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.