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Finding the Fourth Proportional to 2,141.04, 3,212.08 and 602

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Solution

The fourth proportional to 2,141.04, 3,212.08 and 602 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.04 : 3,212.08 = 602 : x
  2. Step 2: Convert to fraction form
    2,141.04/3,212.08 = 602/x
  3. Step 3: Cross multiply
    2,141.04x = 3,212.08 × 602
  4. Step 4: Simplify right side
    2,141.04x = 1,933,672.16
  5. Step 5: Solve for x
    x = 1,933,672.16/2,141.04
  6. Step 6: Final answer
    x = 903.15

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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.