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Finding the Fourth Proportional to 3,162.29, 4,741.40 and 1,314.68

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Solution

The fourth proportional to 3,162.29, 4,741.40 and 1,314.68 is: 1,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.29 : 4,741.40 = 1,314.68 : x
  2. Step 2: Convert to fraction form
    3,162.29/4,741.40 = 1,314.68/x
  3. Step 3: Cross multiply
    3,162.29x = 4,741.40 × 1,314.68
  4. Step 4: Simplify right side
    3,162.29x = 6,233,393.47
  5. Step 5: Solve for x
    x = 6,233,393.47/3,162.29
  6. Step 6: Final answer
    x = 1,971.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.