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Finding the Fourth Proportional to 3,071.13, 4,603.08 and 1,424.21

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Solution

The fourth proportional to 3,071.13, 4,603.08 and 1,424.21 is: 2,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.13 : 4,603.08 = 1,424.21 : x
  2. Step 2: Convert to fraction form
    3,071.13/4,603.08 = 1,424.21/x
  3. Step 3: Cross multiply
    3,071.13x = 4,603.08 × 1,424.21
  4. Step 4: Simplify right side
    3,071.13x = 6,555,734.89
  5. Step 5: Solve for x
    x = 6,555,734.89/3,071.13
  6. Step 6: Final answer
    x = 2,134.64

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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.