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Finding the Fourth Proportional to 3,043.75, 4,565.64 and 852.43

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Solution

The fourth proportional to 3,043.75, 4,565.64 and 852.43 is: 1,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.75 : 4,565.64 = 852.43 : x
  2. Step 2: Convert to fraction form
    3,043.75/4,565.64 = 852.43/x
  3. Step 3: Cross multiply
    3,043.75x = 4,565.64 × 852.43
  4. Step 4: Simplify right side
    3,043.75x = 3,891,888.51
  5. Step 5: Solve for x
    x = 3,891,888.51/3,043.75
  6. Step 6: Final answer
    x = 1,278.65

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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.