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Finding the Fourth Proportional to 2,095.22, 3,143.15 and 862.30

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Solution

The fourth proportional to 2,095.22, 3,143.15 and 862.30 is: 1,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.22 : 3,143.15 = 862.30 : x
  2. Step 2: Convert to fraction form
    2,095.22/3,143.15 = 862.30/x
  3. Step 3: Cross multiply
    2,095.22x = 3,143.15 × 862.30
  4. Step 4: Simplify right side
    2,095.22x = 2,710,328.27
  5. Step 5: Solve for x
    x = 2,710,328.27/2,095.22
  6. Step 6: Final answer
    x = 1,293.58

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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.