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Finding the Fourth Proportional to 2,095.36, 3,142.04 and 633.92

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Solution

The fourth proportional to 2,095.36, 3,142.04 and 633.92 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.36 : 3,142.04 = 633.92 : x
  2. Step 2: Convert to fraction form
    2,095.36/3,142.04 = 633.92/x
  3. Step 3: Cross multiply
    2,095.36x = 3,142.04 × 633.92
  4. Step 4: Simplify right side
    2,095.36x = 1,991,802.00
  5. Step 5: Solve for x
    x = 1,991,802.00/2,095.36
  6. Step 6: Final answer
    x = 950.58

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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.