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Finding the Fourth Proportional to 3,162.51, 4,741.47 and 1,081.98

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Solution

The fourth proportional to 3,162.51, 4,741.47 and 1,081.98 is: 1,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.51 : 4,741.47 = 1,081.98 : x
  2. Step 2: Convert to fraction form
    3,162.51/4,741.47 = 1,081.98/x
  3. Step 3: Cross multiply
    3,162.51x = 4,741.47 × 1,081.98
  4. Step 4: Simplify right side
    3,162.51x = 5,130,175.71
  5. Step 5: Solve for x
    x = 5,130,175.71/3,162.51
  6. Step 6: Final answer
    x = 1,622.18

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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.