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Finding the Fourth Proportional to 2,029.45, 3,040.07 and 1,565.63

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Solution

The fourth proportional to 2,029.45, 3,040.07 and 1,565.63 is: 2,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.45 : 3,040.07 = 1,565.63 : x
  2. Step 2: Convert to fraction form
    2,029.45/3,040.07 = 1,565.63/x
  3. Step 3: Cross multiply
    2,029.45x = 3,040.07 × 1,565.63
  4. Step 4: Simplify right side
    2,029.45x = 4,759,609.59
  5. Step 5: Solve for x
    x = 4,759,609.59/2,029.45
  6. Step 6: Final answer
    x = 2,345.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.