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Finding the Fourth Proportional to 2,329.78, 3,495.82 and 1,716.20

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Solution

The fourth proportional to 2,329.78, 3,495.82 and 1,716.20 is: 2,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.78 : 3,495.82 = 1,716.20 : x
  2. Step 2: Convert to fraction form
    2,329.78/3,495.82 = 1,716.20/x
  3. Step 3: Cross multiply
    2,329.78x = 3,495.82 × 1,716.20
  4. Step 4: Simplify right side
    2,329.78x = 5,999,526.28
  5. Step 5: Solve for x
    x = 5,999,526.28/2,329.78
  6. Step 6: Final answer
    x = 2,575.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.