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Finding the Fourth Proportional to 1,633.18, 2,452.47 and 904.18

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Solution

The fourth proportional to 1,633.18, 2,452.47 and 904.18 is: 1,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.18 : 2,452.47 = 904.18 : x
  2. Step 2: Convert to fraction form
    1,633.18/2,452.47 = 904.18/x
  3. Step 3: Cross multiply
    1,633.18x = 2,452.47 × 904.18
  4. Step 4: Simplify right side
    1,633.18x = 2,217,474.32
  5. Step 5: Solve for x
    x = 2,217,474.32/1,633.18
  6. Step 6: Final answer
    x = 1,357.76

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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.