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Finding the Fourth Proportional to 3,264.35, 4,891.53 and 1,782.75

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Solution

The fourth proportional to 3,264.35, 4,891.53 and 1,782.75 is: 2,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.35 : 4,891.53 = 1,782.75 : x
  2. Step 2: Convert to fraction form
    3,264.35/4,891.53 = 1,782.75/x
  3. Step 3: Cross multiply
    3,264.35x = 4,891.53 × 1,782.75
  4. Step 4: Simplify right side
    3,264.35x = 8,720,364.49
  5. Step 5: Solve for x
    x = 8,720,364.49/3,264.35
  6. Step 6: Final answer
    x = 2,671.39

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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.