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Finding the Fourth Proportional to 2,201.02, 3,301.64 and 557.58

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Solution

The fourth proportional to 2,201.02, 3,301.64 and 557.58 is: 836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.02 : 3,301.64 = 557.58 : x
  2. Step 2: Convert to fraction form
    2,201.02/3,301.64 = 557.58/x
  3. Step 3: Cross multiply
    2,201.02x = 3,301.64 × 557.58
  4. Step 4: Simplify right side
    2,201.02x = 1,840,925.64
  5. Step 5: Solve for x
    x = 1,840,925.64/2,201.02
  6. Step 6: Final answer
    x = 836.40

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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.