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Finding the Fourth Proportional to 1,716.78, 2,369.14 and 930.82

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Solution

The fourth proportional to 1,716.78, 2,369.14 and 930.82 is: 1,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.78 : 2,369.14 = 930.82 : x
  2. Step 2: Convert to fraction form
    1,716.78/2,369.14 = 930.82/x
  3. Step 3: Cross multiply
    1,716.78x = 2,369.14 × 930.82
  4. Step 4: Simplify right side
    1,716.78x = 2,205,242.89
  5. Step 5: Solve for x
    x = 2,205,242.89/1,716.78
  6. Step 6: Final answer
    x = 1,284.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.