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Finding the Fourth Proportional to 2,973.97, 4,105 and 1,715.86

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Solution

The fourth proportional to 2,973.97, 4,105 and 1,715.86 is: 2,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.97 : 4,105 = 1,715.86 : x
  2. Step 2: Convert to fraction form
    2,973.97/4,105 = 1,715.86/x
  3. Step 3: Cross multiply
    2,973.97x = 4,105 × 1,715.86
  4. Step 4: Simplify right side
    2,973.97x = 7,043,605.30
  5. Step 5: Solve for x
    x = 7,043,605.30/2,973.97
  6. Step 6: Final answer
    x = 2,368.42

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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.