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Finding the Fourth Proportional to 2,365.62, 3,264.48 and 1,317.66

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Solution

The fourth proportional to 2,365.62, 3,264.48 and 1,317.66 is: 1,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.62 : 3,264.48 = 1,317.66 : x
  2. Step 2: Convert to fraction form
    2,365.62/3,264.48 = 1,317.66/x
  3. Step 3: Cross multiply
    2,365.62x = 3,264.48 × 1,317.66
  4. Step 4: Simplify right side
    2,365.62x = 4,301,474.72
  5. Step 5: Solve for x
    x = 4,301,474.72/2,365.62
  6. Step 6: Final answer
    x = 1,818.33

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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.