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Finding the Fourth Proportional to 2,859.50, 3,946.37 and 1,740.17

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Solution

The fourth proportional to 2,859.50, 3,946.37 and 1,740.17 is: 2,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.50 : 3,946.37 = 1,740.17 : x
  2. Step 2: Convert to fraction form
    2,859.50/3,946.37 = 1,740.17/x
  3. Step 3: Cross multiply
    2,859.50x = 3,946.37 × 1,740.17
  4. Step 4: Simplify right side
    2,859.50x = 6,867,326.25
  5. Step 5: Solve for x
    x = 6,867,326.25/2,859.50
  6. Step 6: Final answer
    x = 2,401.59

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