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Finding the Fourth Proportional to 2,710.49, 4,071.18 and 1,616.99

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Solution

The fourth proportional to 2,710.49, 4,071.18 and 1,616.99 is: 2,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.49 : 4,071.18 = 1,616.99 : x
  2. Step 2: Convert to fraction form
    2,710.49/4,071.18 = 1,616.99/x
  3. Step 3: Cross multiply
    2,710.49x = 4,071.18 × 1,616.99
  4. Step 4: Simplify right side
    2,710.49x = 6,583,057.35
  5. Step 5: Solve for x
    x = 6,583,057.35/2,710.49
  6. Step 6: Final answer
    x = 2,428.73

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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.