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Finding the Fourth Proportional to 2,212.74, 3,319.25 and 652.95

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Solution

The fourth proportional to 2,212.74, 3,319.25 and 652.95 is: 979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.74 : 3,319.25 = 652.95 : x
  2. Step 2: Convert to fraction form
    2,212.74/3,319.25 = 652.95/x
  3. Step 3: Cross multiply
    2,212.74x = 3,319.25 × 652.95
  4. Step 4: Simplify right side
    2,212.74x = 2,167,301.02
  5. Step 5: Solve for x
    x = 2,167,301.02/2,212.74
  6. Step 6: Final answer
    x = 979.46

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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.