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Finding the Fourth Proportional to 3,162.39, 4,363.91 and 1,746.08

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Solution

The fourth proportional to 3,162.39, 4,363.91 and 1,746.08 is: 2,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.39 : 4,363.91 = 1,746.08 : x
  2. Step 2: Convert to fraction form
    3,162.39/4,363.91 = 1,746.08/x
  3. Step 3: Cross multiply
    3,162.39x = 4,363.91 × 1,746.08
  4. Step 4: Simplify right side
    3,162.39x = 7,619,705.42
  5. Step 5: Solve for x
    x = 7,619,705.42/3,162.39
  6. Step 6: Final answer
    x = 2,409.48

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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.