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Finding the Fourth Proportional to 3,044.08, 4,565.62 and 852.30

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Solution

The fourth proportional to 3,044.08, 4,565.62 and 852.30 is: 1,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.08 : 4,565.62 = 852.30 : x
  2. Step 2: Convert to fraction form
    3,044.08/4,565.62 = 852.30/x
  3. Step 3: Cross multiply
    3,044.08x = 4,565.62 × 852.30
  4. Step 4: Simplify right side
    3,044.08x = 3,891,277.93
  5. Step 5: Solve for x
    x = 3,891,277.93/3,044.08
  6. Step 6: Final answer
    x = 1,278.31

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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.