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Finding the Fourth Proportional to 2,635.33, 3,953.55 and 904.09

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Solution

The fourth proportional to 2,635.33, 3,953.55 and 904.09 is: 1,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.33 : 3,953.55 = 904.09 : x
  2. Step 2: Convert to fraction form
    2,635.33/3,953.55 = 904.09/x
  3. Step 3: Cross multiply
    2,635.33x = 3,953.55 × 904.09
  4. Step 4: Simplify right side
    2,635.33x = 3,574,365.02
  5. Step 5: Solve for x
    x = 3,574,365.02/2,635.33
  6. Step 6: Final answer
    x = 1,356.33

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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.