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Finding the Fourth Proportional to 2,263.59, 3,395.92 and 946.61

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Solution

The fourth proportional to 2,263.59, 3,395.92 and 946.61 is: 1,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.59 : 3,395.92 = 946.61 : x
  2. Step 2: Convert to fraction form
    2,263.59/3,395.92 = 946.61/x
  3. Step 3: Cross multiply
    2,263.59x = 3,395.92 × 946.61
  4. Step 4: Simplify right side
    2,263.59x = 3,214,611.83
  5. Step 5: Solve for x
    x = 3,214,611.83/2,263.59
  6. Step 6: Final answer
    x = 1,420.14

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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.