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Finding the Fourth Proportional to 2,222.34, 3,331.70 and 924.78

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Solution

The fourth proportional to 2,222.34, 3,331.70 and 924.78 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.34 : 3,331.70 = 924.78 : x
  2. Step 2: Convert to fraction form
    2,222.34/3,331.70 = 924.78/x
  3. Step 3: Cross multiply
    2,222.34x = 3,331.70 × 924.78
  4. Step 4: Simplify right side
    2,222.34x = 3,081,089.53
  5. Step 5: Solve for x
    x = 3,081,089.53/2,222.34
  6. Step 6: Final answer
    x = 1,386.42

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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.