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Finding the Fourth Proportional to 2,365.92, 3,265.02 and 1,318.05

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Solution

The fourth proportional to 2,365.92, 3,265.02 and 1,318.05 is: 1,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.92 : 3,265.02 = 1,318.05 : x
  2. Step 2: Convert to fraction form
    2,365.92/3,265.02 = 1,318.05/x
  3. Step 3: Cross multiply
    2,365.92x = 3,265.02 × 1,318.05
  4. Step 4: Simplify right side
    2,365.92x = 4,303,459.61
  5. Step 5: Solve for x
    x = 4,303,459.61/2,365.92
  6. Step 6: Final answer
    x = 1,818.94

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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.