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Finding the Fourth Proportional to 2,114.14, 3,171.35 and 653.10

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Solution

The fourth proportional to 2,114.14, 3,171.35 and 653.10 is: 979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.14 : 3,171.35 = 653.10 : x
  2. Step 2: Convert to fraction form
    2,114.14/3,171.35 = 653.10/x
  3. Step 3: Cross multiply
    2,114.14x = 3,171.35 × 653.10
  4. Step 4: Simplify right side
    2,114.14x = 2,071,208.69
  5. Step 5: Solve for x
    x = 2,071,208.69/2,114.14
  6. Step 6: Final answer
    x = 979.69

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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.