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Finding the Fourth Proportional to 2,222.61, 3,064.82 and 1,559.25

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Solution

The fourth proportional to 2,222.61, 3,064.82 and 1,559.25 is: 2,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.61 : 3,064.82 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    2,222.61/3,064.82 = 1,559.25/x
  3. Step 3: Cross multiply
    2,222.61x = 3,064.82 × 1,559.25
  4. Step 4: Simplify right side
    2,222.61x = 4,778,812.79
  5. Step 5: Solve for x
    x = 4,778,812.79/2,222.61
  6. Step 6: Final answer
    x = 2,150.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.