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Finding the Fourth Proportional to 3,142.08, 4,710.96 and 1,604.16

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Solution

The fourth proportional to 3,142.08, 4,710.96 and 1,604.16 is: 2,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.08 : 4,710.96 = 1,604.16 : x
  2. Step 2: Convert to fraction form
    3,142.08/4,710.96 = 1,604.16/x
  3. Step 3: Cross multiply
    3,142.08x = 4,710.96 × 1,604.16
  4. Step 4: Simplify right side
    3,142.08x = 7,557,133.59
  5. Step 5: Solve for x
    x = 7,557,133.59/3,142.08
  6. Step 6: Final answer
    x = 2,405.14

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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.