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Finding the Fourth Proportional to 2,294.11, 3,153.68 and 1,973.90

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Solution

The fourth proportional to 2,294.11, 3,153.68 and 1,973.90 is: 2,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.11 : 3,153.68 = 1,973.90 : x
  2. Step 2: Convert to fraction form
    2,294.11/3,153.68 = 1,973.90/x
  3. Step 3: Cross multiply
    2,294.11x = 3,153.68 × 1,973.90
  4. Step 4: Simplify right side
    2,294.11x = 6,225,039.08
  5. Step 5: Solve for x
    x = 6,225,039.08/2,294.11
  6. Step 6: Final answer
    x = 2,713.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.