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Finding the Fourth Proportional to 2,071.17, 2,856.77 and 1,406.87

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Solution

The fourth proportional to 2,071.17, 2,856.77 and 1,406.87 is: 1,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.17 : 2,856.77 = 1,406.87 : x
  2. Step 2: Convert to fraction form
    2,071.17/2,856.77 = 1,406.87/x
  3. Step 3: Cross multiply
    2,071.17x = 2,856.77 × 1,406.87
  4. Step 4: Simplify right side
    2,071.17x = 4,019,098.68
  5. Step 5: Solve for x
    x = 4,019,098.68/2,071.17
  6. Step 6: Final answer
    x = 1,940.50

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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.