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Finding the Fourth Proportional to 2,071.84, 2,857.44 and 1,511.68

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Solution

The fourth proportional to 2,071.84, 2,857.44 and 1,511.68 is: 2,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.84 : 2,857.44 = 1,511.68 : x
  2. Step 2: Convert to fraction form
    2,071.84/2,857.44 = 1,511.68/x
  3. Step 3: Cross multiply
    2,071.84x = 2,857.44 × 1,511.68
  4. Step 4: Simplify right side
    2,071.84x = 4,319,534.90
  5. Step 5: Solve for x
    x = 4,319,534.90/2,071.84
  6. Step 6: Final answer
    x = 2,084.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.