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Finding the Fourth Proportional to 2,104.14, 3,156.30 and 643.36

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Solution

The fourth proportional to 2,104.14, 3,156.30 and 643.36 is: 965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.14 : 3,156.30 = 643.36 : x
  2. Step 2: Convert to fraction form
    2,104.14/3,156.30 = 643.36/x
  3. Step 3: Cross multiply
    2,104.14x = 3,156.30 × 643.36
  4. Step 4: Simplify right side
    2,104.14x = 2,030,637.17
  5. Step 5: Solve for x
    x = 2,030,637.17/2,104.14
  6. Step 6: Final answer
    x = 965.07

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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.