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Finding the Fourth Proportional to 2,517.87, 3,477.29 and 1,732.98

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Solution

The fourth proportional to 2,517.87, 3,477.29 and 1,732.98 is: 2,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.87 : 3,477.29 = 1,732.98 : x
  2. Step 2: Convert to fraction form
    2,517.87/3,477.29 = 1,732.98/x
  3. Step 3: Cross multiply
    2,517.87x = 3,477.29 × 1,732.98
  4. Step 4: Simplify right side
    2,517.87x = 6,026,074.02
  5. Step 5: Solve for x
    x = 6,026,074.02/2,517.87
  6. Step 6: Final answer
    x = 2,393.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.