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Finding the Fourth Proportional to 2,368.92, 3,269.16 and 1,320.96

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Solution

The fourth proportional to 2,368.92, 3,269.16 and 1,320.96 is: 1,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.92 : 3,269.16 = 1,320.96 : x
  2. Step 2: Convert to fraction form
    2,368.92/3,269.16 = 1,320.96/x
  3. Step 3: Cross multiply
    2,368.92x = 3,269.16 × 1,320.96
  4. Step 4: Simplify right side
    2,368.92x = 4,318,429.59
  5. Step 5: Solve for x
    x = 4,318,429.59/2,368.92
  6. Step 6: Final answer
    x = 1,822.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.