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Finding the Fourth Proportional to 2,214.20, 3,320.14 and 653.99

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Solution

The fourth proportional to 2,214.20, 3,320.14 and 653.99 is: 980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.20 : 3,320.14 = 653.99 : x
  2. Step 2: Convert to fraction form
    2,214.20/3,320.14 = 653.99/x
  3. Step 3: Cross multiply
    2,214.20x = 3,320.14 × 653.99
  4. Step 4: Simplify right side
    2,214.20x = 2,171,345.02
  5. Step 5: Solve for x
    x = 2,171,345.02/2,214.20
  6. Step 6: Final answer
    x = 980.65

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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.