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Finding the Fourth Proportional to 2,366.20, 3,264.06 and 1,769.32

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Solution

The fourth proportional to 2,366.20, 3,264.06 and 1,769.32 is: 2,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.20 : 3,264.06 = 1,769.32 : x
  2. Step 2: Convert to fraction form
    2,366.20/3,264.06 = 1,769.32/x
  3. Step 3: Cross multiply
    2,366.20x = 3,264.06 × 1,769.32
  4. Step 4: Simplify right side
    2,366.20x = 5,775,166.64
  5. Step 5: Solve for x
    x = 5,775,166.64/2,366.20
  6. Step 6: Final answer
    x = 2,440.69

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