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Finding the Fourth Proportional to 1,219.46, 1,829.24 and 1,015.47

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Solution

The fourth proportional to 1,219.46, 1,829.24 and 1,015.47 is: 1,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.46 : 1,829.24 = 1,015.47 : x
  2. Step 2: Convert to fraction form
    1,219.46/1,829.24 = 1,015.47/x
  3. Step 3: Cross multiply
    1,219.46x = 1,829.24 × 1,015.47
  4. Step 4: Simplify right side
    1,219.46x = 1,857,538.34
  5. Step 5: Solve for x
    x = 1,857,538.34/1,219.46
  6. Step 6: Final answer
    x = 1,523.25

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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.