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Finding the Fourth Proportional to 2,410.43, 3,616.65 and 1,721.52

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Solution

The fourth proportional to 2,410.43, 3,616.65 and 1,721.52 is: 2,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.43 : 3,616.65 = 1,721.52 : x
  2. Step 2: Convert to fraction form
    2,410.43/3,616.65 = 1,721.52/x
  3. Step 3: Cross multiply
    2,410.43x = 3,616.65 × 1,721.52
  4. Step 4: Simplify right side
    2,410.43x = 6,226,135.31
  5. Step 5: Solve for x
    x = 6,226,135.31/2,410.43
  6. Step 6: Final answer
    x = 2,583.00

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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.