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Finding the Fourth Proportional to 2,203.85, 3,288.68 and 1,970.16

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Solution

The fourth proportional to 2,203.85, 3,288.68 and 1,970.16 is: 2,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.85 : 3,288.68 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    2,203.85/3,288.68 = 1,970.16/x
  3. Step 3: Cross multiply
    2,203.85x = 3,288.68 × 1,970.16
  4. Step 4: Simplify right side
    2,203.85x = 6,479,215.94
  5. Step 5: Solve for x
    x = 6,479,215.94/2,203.85
  6. Step 6: Final answer
    x = 2,939.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.