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Finding the Fourth Proportional to 2,366.66, 3,264.62 and 1,703.82

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Solution

The fourth proportional to 2,366.66, 3,264.62 and 1,703.82 is: 2,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.66 : 3,264.62 = 1,703.82 : x
  2. Step 2: Convert to fraction form
    2,366.66/3,264.62 = 1,703.82/x
  3. Step 3: Cross multiply
    2,366.66x = 3,264.62 × 1,703.82
  4. Step 4: Simplify right side
    2,366.66x = 5,562,324.85
  5. Step 5: Solve for x
    x = 5,562,324.85/2,366.66
  6. Step 6: Final answer
    x = 2,350.28

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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.