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Finding the Fourth Proportional to 2,201.40, 3,302.09 and 557.94

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Solution

The fourth proportional to 2,201.40, 3,302.09 and 557.94 is: 836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.40 : 3,302.09 = 557.94 : x
  2. Step 2: Convert to fraction form
    2,201.40/3,302.09 = 557.94/x
  3. Step 3: Cross multiply
    2,201.40x = 3,302.09 × 557.94
  4. Step 4: Simplify right side
    2,201.40x = 1,842,368.09
  5. Step 5: Solve for x
    x = 1,842,368.09/2,201.40
  6. Step 6: Final answer
    x = 836.91

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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.