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Finding the Fourth Proportional to 1,322.52, 1,802.33 and 1,317.66

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Solution

The fourth proportional to 1,322.52, 1,802.33 and 1,317.66 is: 1,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.52 : 1,802.33 = 1,317.66 : x
  2. Step 2: Convert to fraction form
    1,322.52/1,802.33 = 1,317.66/x
  3. Step 3: Cross multiply
    1,322.52x = 1,802.33 × 1,317.66
  4. Step 4: Simplify right side
    1,322.52x = 2,374,851.56
  5. Step 5: Solve for x
    x = 2,374,851.56/1,322.52
  6. Step 6: Final answer
    x = 1,795.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.