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Finding the Fourth Proportional to 2,919.35, 4,377.26 and 1,164.62

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Solution

The fourth proportional to 2,919.35, 4,377.26 and 1,164.62 is: 1,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.35 : 4,377.26 = 1,164.62 : x
  2. Step 2: Convert to fraction form
    2,919.35/4,377.26 = 1,164.62/x
  3. Step 3: Cross multiply
    2,919.35x = 4,377.26 × 1,164.62
  4. Step 4: Simplify right side
    2,919.35x = 5,097,858.40
  5. Step 5: Solve for x
    x = 5,097,858.40/2,919.35
  6. Step 6: Final answer
    x = 1,746.23

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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.