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Finding the Fourth Proportional to 2,322.73, 3,482.94 and 841.89

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Solution

The fourth proportional to 2,322.73, 3,482.94 and 841.89 is: 1,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.73 : 3,482.94 = 841.89 : x
  2. Step 2: Convert to fraction form
    2,322.73/3,482.94 = 841.89/x
  3. Step 3: Cross multiply
    2,322.73x = 3,482.94 × 841.89
  4. Step 4: Simplify right side
    2,322.73x = 2,932,267.98
  5. Step 5: Solve for x
    x = 2,932,267.98/2,322.73
  6. Step 6: Final answer
    x = 1,262.42

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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.