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Finding the Fourth Proportional to 2,856.34, 4,282.71 and 1,604.95

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Solution

The fourth proportional to 2,856.34, 4,282.71 and 1,604.95 is: 2,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.34 : 4,282.71 = 1,604.95 : x
  2. Step 2: Convert to fraction form
    2,856.34/4,282.71 = 1,604.95/x
  3. Step 3: Cross multiply
    2,856.34x = 4,282.71 × 1,604.95
  4. Step 4: Simplify right side
    2,856.34x = 6,873,535.41
  5. Step 5: Solve for x
    x = 6,873,535.41/2,856.34
  6. Step 6: Final answer
    x = 2,406.41

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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.