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Finding the Fourth Proportional to 2,974.66, 4,105.22 and 1,715.95

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Solution

The fourth proportional to 2,974.66, 4,105.22 and 1,715.95 is: 2,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.66 : 4,105.22 = 1,715.95 : x
  2. Step 2: Convert to fraction form
    2,974.66/4,105.22 = 1,715.95/x
  3. Step 3: Cross multiply
    2,974.66x = 4,105.22 × 1,715.95
  4. Step 4: Simplify right side
    2,974.66x = 7,044,352.26
  5. Step 5: Solve for x
    x = 7,044,352.26/2,974.66
  6. Step 6: Final answer
    x = 2,368.12

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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.