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Finding the Fourth Proportional to 4,614.78, 6,916.50 and 2,014.68

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Solution

The fourth proportional to 4,614.78, 6,916.50 and 2,014.68 is: 3,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.78 : 6,916.50 = 2,014.68 : x
  2. Step 2: Convert to fraction form
    4,614.78/6,916.50 = 2,014.68/x
  3. Step 3: Cross multiply
    4,614.78x = 6,916.50 × 2,014.68
  4. Step 4: Simplify right side
    4,614.78x = 13,934,534.22
  5. Step 5: Solve for x
    x = 13,934,534.22/4,614.78
  6. Step 6: Final answer
    x = 3,019.54

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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.