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Finding the Fourth Proportional to 3,114.82, 4,665.78 and 1,384.66

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Solution

The fourth proportional to 3,114.82, 4,665.78 and 1,384.66 is: 2,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.82 : 4,665.78 = 1,384.66 : x
  2. Step 2: Convert to fraction form
    3,114.82/4,665.78 = 1,384.66/x
  3. Step 3: Cross multiply
    3,114.82x = 4,665.78 × 1,384.66
  4. Step 4: Simplify right side
    3,114.82x = 6,460,518.93
  5. Step 5: Solve for x
    x = 6,460,518.93/3,114.82
  6. Step 6: Final answer
    x = 2,074.12

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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.