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Finding the Fourth Proportional to 3,184.36, 4,774.14 and 2,089

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Solution

The fourth proportional to 3,184.36, 4,774.14 and 2,089 is: 3,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.36 : 4,774.14 = 2,089 : x
  2. Step 2: Convert to fraction form
    3,184.36/4,774.14 = 2,089/x
  3. Step 3: Cross multiply
    3,184.36x = 4,774.14 × 2,089
  4. Step 4: Simplify right side
    3,184.36x = 9,973,178.46
  5. Step 5: Solve for x
    x = 9,973,178.46/3,184.36
  6. Step 6: Final answer
    x = 3,131.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.