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Finding the Fourth Proportional to 2,407.32, 3,610.35 and 1,019.94

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Solution

The fourth proportional to 2,407.32, 3,610.35 and 1,019.94 is: 1,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.32 : 3,610.35 = 1,019.94 : x
  2. Step 2: Convert to fraction form
    2,407.32/3,610.35 = 1,019.94/x
  3. Step 3: Cross multiply
    2,407.32x = 3,610.35 × 1,019.94
  4. Step 4: Simplify right side
    2,407.32x = 3,682,340.38
  5. Step 5: Solve for x
    x = 3,682,340.38/2,407.32
  6. Step 6: Final answer
    x = 1,529.64

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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.