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Finding the Fourth Proportional to 3,029.64, 4,540.26 and 1,565.78

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Solution

The fourth proportional to 3,029.64, 4,540.26 and 1,565.78 is: 2,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.64 : 4,540.26 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    3,029.64/4,540.26 = 1,565.78/x
  3. Step 3: Cross multiply
    3,029.64x = 4,540.26 × 1,565.78
  4. Step 4: Simplify right side
    3,029.64x = 7,109,048.30
  5. Step 5: Solve for x
    x = 7,109,048.30/3,029.64
  6. Step 6: Final answer
    x = 2,346.50

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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.