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Finding the Fourth Proportional to 2,914.23, 4,370.93 and 966.18

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Solution

The fourth proportional to 2,914.23, 4,370.93 and 966.18 is: 1,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.23 : 4,370.93 = 966.18 : x
  2. Step 2: Convert to fraction form
    2,914.23/4,370.93 = 966.18/x
  3. Step 3: Cross multiply
    2,914.23x = 4,370.93 × 966.18
  4. Step 4: Simplify right side
    2,914.23x = 4,223,100.32
  5. Step 5: Solve for x
    x = 4,223,100.32/2,914.23
  6. Step 6: Final answer
    x = 1,449.13

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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.