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Finding the Fourth Proportional to 2,912.06, 4,366.47 and 1,616.06

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Solution

The fourth proportional to 2,912.06, 4,366.47 and 1,616.06 is: 2,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.06 : 4,366.47 = 1,616.06 : x
  2. Step 2: Convert to fraction form
    2,912.06/4,366.47 = 1,616.06/x
  3. Step 3: Cross multiply
    2,912.06x = 4,366.47 × 1,616.06
  4. Step 4: Simplify right side
    2,912.06x = 7,056,477.51
  5. Step 5: Solve for x
    x = 7,056,477.51/2,912.06
  6. Step 6: Final answer
    x = 2,423.19

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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.