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Finding the Fourth Proportional to 1,594.36, 2,201.60 and 1,225

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Solution

The fourth proportional to 1,594.36, 2,201.60 and 1,225 is: 1,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.36 : 2,201.60 = 1,225 : x
  2. Step 2: Convert to fraction form
    1,594.36/2,201.60 = 1,225/x
  3. Step 3: Cross multiply
    1,594.36x = 2,201.60 × 1,225
  4. Step 4: Simplify right side
    1,594.36x = 2,696,953.88
  5. Step 5: Solve for x
    x = 2,696,953.88/1,594.36
  6. Step 6: Final answer
    x = 1,691.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.