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Finding the Fourth Proportional to 2,856.56, 3,943.33 and 1,677.71

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Solution

The fourth proportional to 2,856.56, 3,943.33 and 1,677.71 is: 2,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.56 : 3,943.33 = 1,677.71 : x
  2. Step 2: Convert to fraction form
    2,856.56/3,943.33 = 1,677.71/x
  3. Step 3: Cross multiply
    2,856.56x = 3,943.33 × 1,677.71
  4. Step 4: Simplify right side
    2,856.56x = 6,615,744.46
  5. Step 5: Solve for x
    x = 6,615,744.46/2,856.56
  6. Step 6: Final answer
    x = 2,315.98

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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.