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Finding the Fourth Proportional to 2,366.66, 3,264.40 and 1,805.84

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Solution

The fourth proportional to 2,366.66, 3,264.40 and 1,805.84 is: 2,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.66 : 3,264.40 = 1,805.84 : x
  2. Step 2: Convert to fraction form
    2,366.66/3,264.40 = 1,805.84/x
  3. Step 3: Cross multiply
    2,366.66x = 3,264.40 × 1,805.84
  4. Step 4: Simplify right side
    2,366.66x = 5,894,984.10
  5. Step 5: Solve for x
    x = 5,894,984.10/2,366.66
  6. Step 6: Final answer
    x = 2,490.85

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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.