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Finding the Fourth Proportional to 3,162.14, 4,746.13 and 1,603.24

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Solution

The fourth proportional to 3,162.14, 4,746.13 and 1,603.24 is: 2,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.14 : 4,746.13 = 1,603.24 : x
  2. Step 2: Convert to fraction form
    3,162.14/4,746.13 = 1,603.24/x
  3. Step 3: Cross multiply
    3,162.14x = 4,746.13 × 1,603.24
  4. Step 4: Simplify right side
    3,162.14x = 7,609,153.71
  5. Step 5: Solve for x
    x = 7,609,153.71/3,162.14
  6. Step 6: Final answer
    x = 2,406.33

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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.