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Finding the Fourth Proportional to 2,865.20, 4,298.06 and 890.84

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Solution

The fourth proportional to 2,865.20, 4,298.06 and 890.84 is: 1,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.20 : 4,298.06 = 890.84 : x
  2. Step 2: Convert to fraction form
    2,865.20/4,298.06 = 890.84/x
  3. Step 3: Cross multiply
    2,865.20x = 4,298.06 × 890.84
  4. Step 4: Simplify right side
    2,865.20x = 3,828,896.74
  5. Step 5: Solve for x
    x = 3,828,896.74/2,865.20
  6. Step 6: Final answer
    x = 1,336.35

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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.