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Finding the Fourth Proportional to 2,941.16, 4,412.34 and 993.32

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Solution

The fourth proportional to 2,941.16, 4,412.34 and 993.32 is: 1,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.16 : 4,412.34 = 993.32 : x
  2. Step 2: Convert to fraction form
    2,941.16/4,412.34 = 993.32/x
  3. Step 3: Cross multiply
    2,941.16x = 4,412.34 × 993.32
  4. Step 4: Simplify right side
    2,941.16x = 4,382,865.57
  5. Step 5: Solve for x
    x = 4,382,865.57/2,941.16
  6. Step 6: Final answer
    x = 1,490.18

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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.