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Finding the Fourth Proportional to 2,942.17, 4,412.75 and 862.13

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Solution

The fourth proportional to 2,942.17, 4,412.75 and 862.13 is: 1,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.17 : 4,412.75 = 862.13 : x
  2. Step 2: Convert to fraction form
    2,942.17/4,412.75 = 862.13/x
  3. Step 3: Cross multiply
    2,942.17x = 4,412.75 × 862.13
  4. Step 4: Simplify right side
    2,942.17x = 3,804,364.16
  5. Step 5: Solve for x
    x = 3,804,364.16/2,942.17
  6. Step 6: Final answer
    x = 1,293.05

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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.