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Finding the Fourth Proportional to 2,114.13, 3,171.21 and 653.10

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Solution

The fourth proportional to 2,114.13, 3,171.21 and 653.10 is: 979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.13 : 3,171.21 = 653.10 : x
  2. Step 2: Convert to fraction form
    2,114.13/3,171.21 = 653.10/x
  3. Step 3: Cross multiply
    2,114.13x = 3,171.21 × 653.10
  4. Step 4: Simplify right side
    2,114.13x = 2,071,117.25
  5. Step 5: Solve for x
    x = 2,071,117.25/2,114.13
  6. Step 6: Final answer
    x = 979.65

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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.