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Finding the Fourth Proportional to 2,366.96, 3,266.40 and 1,318.96

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Solution

The fourth proportional to 2,366.96, 3,266.40 and 1,318.96 is: 1,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.96 : 3,266.40 = 1,318.96 : x
  2. Step 2: Convert to fraction form
    2,366.96/3,266.40 = 1,318.96/x
  3. Step 3: Cross multiply
    2,366.96x = 3,266.40 × 1,318.96
  4. Step 4: Simplify right side
    2,366.96x = 4,308,250.94
  5. Step 5: Solve for x
    x = 4,308,250.94/2,366.96
  6. Step 6: Final answer
    x = 1,820.16

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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.