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Finding the Fourth Proportional to 2,710.40, 4,071.06 and 1,616.90

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Solution

The fourth proportional to 2,710.40, 4,071.06 and 1,616.90 is: 2,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.40 : 4,071.06 = 1,616.90 : x
  2. Step 2: Convert to fraction form
    2,710.40/4,071.06 = 1,616.90/x
  3. Step 3: Cross multiply
    2,710.40x = 4,071.06 × 1,616.90
  4. Step 4: Simplify right side
    2,710.40x = 6,582,496.91
  5. Step 5: Solve for x
    x = 6,582,496.91/2,710.40
  6. Step 6: Final answer
    x = 2,428.61

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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.