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Finding the Fourth Proportional to 2,095.72, 3,142.32 and 795.76

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Solution

The fourth proportional to 2,095.72, 3,142.32 and 795.76 is: 1,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.72 : 3,142.32 = 795.76 : x
  2. Step 2: Convert to fraction form
    2,095.72/3,142.32 = 795.76/x
  3. Step 3: Cross multiply
    2,095.72x = 3,142.32 × 795.76
  4. Step 4: Simplify right side
    2,095.72x = 2,500,532.56
  5. Step 5: Solve for x
    x = 2,500,532.56/2,095.72
  6. Step 6: Final answer
    x = 1,193.16

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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.