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Finding the Fourth Proportional to 2,941.58, 4,411.26 and 993.32

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Solution

The fourth proportional to 2,941.58, 4,411.26 and 993.32 is: 1,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.58 : 4,411.26 = 993.32 : x
  2. Step 2: Convert to fraction form
    2,941.58/4,411.26 = 993.32/x
  3. Step 3: Cross multiply
    2,941.58x = 4,411.26 × 993.32
  4. Step 4: Simplify right side
    2,941.58x = 4,381,792.78
  5. Step 5: Solve for x
    x = 4,381,792.78/2,941.58
  6. Step 6: Final answer
    x = 1,489.61

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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.