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Finding the Fourth Proportional to 2,973.73, 4,104.32 and 1,715.60

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Solution

The fourth proportional to 2,973.73, 4,104.32 and 1,715.60 is: 2,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.73 : 4,104.32 = 1,715.60 : x
  2. Step 2: Convert to fraction form
    2,973.73/4,104.32 = 1,715.60/x
  3. Step 3: Cross multiply
    2,973.73x = 4,104.32 × 1,715.60
  4. Step 4: Simplify right side
    2,973.73x = 7,041,359.64
  5. Step 5: Solve for x
    x = 7,041,359.64/2,973.73
  6. Step 6: Final answer
    x = 2,367.85

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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.