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Finding the Fourth Proportional to 2,572.59, 3,858.83 and 841.21

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Solution

The fourth proportional to 2,572.59, 3,858.83 and 841.21 is: 1,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.59 : 3,858.83 = 841.21 : x
  2. Step 2: Convert to fraction form
    2,572.59/3,858.83 = 841.21/x
  3. Step 3: Cross multiply
    2,572.59x = 3,858.83 × 841.21
  4. Step 4: Simplify right side
    2,572.59x = 3,246,086.38
  5. Step 5: Solve for x
    x = 3,246,086.38/2,572.59
  6. Step 6: Final answer
    x = 1,261.80

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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.