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Finding the Fourth Proportional to 2,407.83, 3,608.84 and 1,575.31

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Solution

The fourth proportional to 2,407.83, 3,608.84 and 1,575.31 is: 2,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.83 : 3,608.84 = 1,575.31 : x
  2. Step 2: Convert to fraction form
    2,407.83/3,608.84 = 1,575.31/x
  3. Step 3: Cross multiply
    2,407.83x = 3,608.84 × 1,575.31
  4. Step 4: Simplify right side
    2,407.83x = 5,685,033.86
  5. Step 5: Solve for x
    x = 5,685,033.86/2,407.83
  6. Step 6: Final answer
    x = 2,361.06

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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.