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Finding the Fourth Proportional to 2,366.12, 3,265.16 and 1,303.94

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Solution

The fourth proportional to 2,366.12, 3,265.16 and 1,303.94 is: 1,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.12 : 3,265.16 = 1,303.94 : x
  2. Step 2: Convert to fraction form
    2,366.12/3,265.16 = 1,303.94/x
  3. Step 3: Cross multiply
    2,366.12x = 3,265.16 × 1,303.94
  4. Step 4: Simplify right side
    2,366.12x = 4,257,572.73
  5. Step 5: Solve for x
    x = 4,257,572.73/2,366.12
  6. Step 6: Final answer
    x = 1,799.39

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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.