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Finding the Fourth Proportional to 1,846.15, 2,769.69 and 613.90

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Solution

The fourth proportional to 1,846.15, 2,769.69 and 613.90 is: 921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.15 : 2,769.69 = 613.90 : x
  2. Step 2: Convert to fraction form
    1,846.15/2,769.69 = 613.90/x
  3. Step 3: Cross multiply
    1,846.15x = 2,769.69 × 613.90
  4. Step 4: Simplify right side
    1,846.15x = 1,700,312.69
  5. Step 5: Solve for x
    x = 1,700,312.69/1,846.15
  6. Step 6: Final answer
    x = 921.00

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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.