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Finding the Fourth Proportional to 3,162.48, 4,364.16 and 1,765.20

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Solution

The fourth proportional to 3,162.48, 4,364.16 and 1,765.20 is: 2,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.48 : 4,364.16 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    3,162.48/4,364.16 = 1,765.20/x
  3. Step 3: Cross multiply
    3,162.48x = 4,364.16 × 1,765.20
  4. Step 4: Simplify right side
    3,162.48x = 7,703,615.23
  5. Step 5: Solve for x
    x = 7,703,615.23/3,162.48
  6. Step 6: Final answer
    x = 2,435.94

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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.