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Finding the Fourth Proportional to 3,056.94, 4,585.10 and 1,082.25

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Solution

The fourth proportional to 3,056.94, 4,585.10 and 1,082.25 is: 1,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.94 : 4,585.10 = 1,082.25 : x
  2. Step 2: Convert to fraction form
    3,056.94/4,585.10 = 1,082.25/x
  3. Step 3: Cross multiply
    3,056.94x = 4,585.10 × 1,082.25
  4. Step 4: Simplify right side
    3,056.94x = 4,962,219.06
  5. Step 5: Solve for x
    x = 4,962,219.06/3,056.94
  6. Step 6: Final answer
    x = 1,623.26

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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.