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Finding the Fourth Proportional to 2,967.68, 4,452.06 and 1,019.45

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Solution

The fourth proportional to 2,967.68, 4,452.06 and 1,019.45 is: 1,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.68 : 4,452.06 = 1,019.45 : x
  2. Step 2: Convert to fraction form
    2,967.68/4,452.06 = 1,019.45/x
  3. Step 3: Cross multiply
    2,967.68x = 4,452.06 × 1,019.45
  4. Step 4: Simplify right side
    2,967.68x = 4,538,652.57
  5. Step 5: Solve for x
    x = 4,538,652.57/2,967.68
  6. Step 6: Final answer
    x = 1,529.36

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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.