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Finding the Fourth Proportional to 2,390.36, 3,584.46 and 1,156.82

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Solution

The fourth proportional to 2,390.36, 3,584.46 and 1,156.82 is: 1,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.36 : 3,584.46 = 1,156.82 : x
  2. Step 2: Convert to fraction form
    2,390.36/3,584.46 = 1,156.82/x
  3. Step 3: Cross multiply
    2,390.36x = 3,584.46 × 1,156.82
  4. Step 4: Simplify right side
    2,390.36x = 4,146,575.02
  5. Step 5: Solve for x
    x = 4,146,575.02/2,390.36
  6. Step 6: Final answer
    x = 1,734.71

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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.