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Finding the Fourth Proportional to 2,918.19, 4,376.62 and 969.87

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Solution

The fourth proportional to 2,918.19, 4,376.62 and 969.87 is: 1,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.19 : 4,376.62 = 969.87 : x
  2. Step 2: Convert to fraction form
    2,918.19/4,376.62 = 969.87/x
  3. Step 3: Cross multiply
    2,918.19x = 4,376.62 × 969.87
  4. Step 4: Simplify right side
    2,918.19x = 4,244,764.61
  5. Step 5: Solve for x
    x = 4,244,764.61/2,918.19
  6. Step 6: Final answer
    x = 1,454.59

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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.