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Finding the Fourth Proportional to 2,015.88, 3,023.24 and 783.02

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Solution

The fourth proportional to 2,015.88, 3,023.24 and 783.02 is: 1,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.88 : 3,023.24 = 783.02 : x
  2. Step 2: Convert to fraction form
    2,015.88/3,023.24 = 783.02/x
  3. Step 3: Cross multiply
    2,015.88x = 3,023.24 × 783.02
  4. Step 4: Simplify right side
    2,015.88x = 2,367,257.38
  5. Step 5: Solve for x
    x = 2,367,257.38/2,015.88
  6. Step 6: Final answer
    x = 1,174.30

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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.