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Finding the Fourth Proportional to 3,162.29, 4,364.10 and 1,746.17

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Solution

The fourth proportional to 3,162.29, 4,364.10 and 1,746.17 is: 2,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.29 : 4,364.10 = 1,746.17 : x
  2. Step 2: Convert to fraction form
    3,162.29/4,364.10 = 1,746.17/x
  3. Step 3: Cross multiply
    3,162.29x = 4,364.10 × 1,746.17
  4. Step 4: Simplify right side
    3,162.29x = 7,620,471.41
  5. Step 5: Solve for x
    x = 7,620,471.41/3,162.29
  6. Step 6: Final answer
    x = 2,409.80

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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.