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Finding the Fourth Proportional to 2,407.64, 3,610.31 and 1,529.66

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Solution

The fourth proportional to 2,407.64, 3,610.31 and 1,529.66 is: 2,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.64 : 3,610.31 = 1,529.66 : x
  2. Step 2: Convert to fraction form
    2,407.64/3,610.31 = 1,529.66/x
  3. Step 3: Cross multiply
    2,407.64x = 3,610.31 × 1,529.66
  4. Step 4: Simplify right side
    2,407.64x = 5,522,546.79
  5. Step 5: Solve for x
    x = 5,522,546.79/2,407.64
  6. Step 6: Final answer
    x = 2,293.76

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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.