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Finding the Fourth Proportional to 2,114.19, 3,171.27 and 653.36

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Solution

The fourth proportional to 2,114.19, 3,171.27 and 653.36 is: 980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.19 : 3,171.27 = 653.36 : x
  2. Step 2: Convert to fraction form
    2,114.19/3,171.27 = 653.36/x
  3. Step 3: Cross multiply
    2,114.19x = 3,171.27 × 653.36
  4. Step 4: Simplify right side
    2,114.19x = 2,071,965.11
  5. Step 5: Solve for x
    x = 2,071,965.11/2,114.19
  6. Step 6: Final answer
    x = 980.03

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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.