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Finding the Fourth Proportional to 2,054.84, 3,082.28 and 1,643.45

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Solution

The fourth proportional to 2,054.84, 3,082.28 and 1,643.45 is: 2,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.84 : 3,082.28 = 1,643.45 : x
  2. Step 2: Convert to fraction form
    2,054.84/3,082.28 = 1,643.45/x
  3. Step 3: Cross multiply
    2,054.84x = 3,082.28 × 1,643.45
  4. Step 4: Simplify right side
    2,054.84x = 5,065,549.44
  5. Step 5: Solve for x
    x = 5,065,549.44/2,054.84
  6. Step 6: Final answer
    x = 2,465.19

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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.