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Finding the Fourth Proportional to 2,864.39, 4,295.77 and 916.34

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Solution

The fourth proportional to 2,864.39, 4,295.77 and 916.34 is: 1,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.39 : 4,295.77 = 916.34 : x
  2. Step 2: Convert to fraction form
    2,864.39/4,295.77 = 916.34/x
  3. Step 3: Cross multiply
    2,864.39x = 4,295.77 × 916.34
  4. Step 4: Simplify right side
    2,864.39x = 3,936,362.11
  5. Step 5: Solve for x
    x = 3,936,362.11/2,864.39
  6. Step 6: Final answer
    x = 1,374.24

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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.