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Finding the Fourth Proportional to 2,809.70, 4,216.41 and 1,578.20

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Solution

The fourth proportional to 2,809.70, 4,216.41 and 1,578.20 is: 2,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.70 : 4,216.41 = 1,578.20 : x
  2. Step 2: Convert to fraction form
    2,809.70/4,216.41 = 1,578.20/x
  3. Step 3: Cross multiply
    2,809.70x = 4,216.41 × 1,578.20
  4. Step 4: Simplify right side
    2,809.70x = 6,654,317.18
  5. Step 5: Solve for x
    x = 6,654,317.18/2,809.70
  6. Step 6: Final answer
    x = 2,368.34

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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.