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Finding the Fourth Proportional to 2,122.22, 2,928.15 and 1,425.62

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Solution

The fourth proportional to 2,122.22, 2,928.15 and 1,425.62 is: 1,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.22 : 2,928.15 = 1,425.62 : x
  2. Step 2: Convert to fraction form
    2,122.22/2,928.15 = 1,425.62/x
  3. Step 3: Cross multiply
    2,122.22x = 2,928.15 × 1,425.62
  4. Step 4: Simplify right side
    2,122.22x = 4,174,429.20
  5. Step 5: Solve for x
    x = 4,174,429.20/2,122.22
  6. Step 6: Final answer
    x = 1,967.01

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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.