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Finding the Fourth Proportional to 2,406.79, 3,611.60 and 1,020.02

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Solution

The fourth proportional to 2,406.79, 3,611.60 and 1,020.02 is: 1,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.79 : 3,611.60 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    2,406.79/3,611.60 = 1,020.02/x
  3. Step 3: Cross multiply
    2,406.79x = 3,611.60 × 1,020.02
  4. Step 4: Simplify right side
    2,406.79x = 3,683,899.13
  5. Step 5: Solve for x
    x = 3,683,899.13/2,406.79
  6. Step 6: Final answer
    x = 1,530.63

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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.