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Finding the Fourth Proportional to 1,611.24, 2,417.07 and 515.22

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Solution

The fourth proportional to 1,611.24, 2,417.07 and 515.22 is: 772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.24 : 2,417.07 = 515.22 : x
  2. Step 2: Convert to fraction form
    1,611.24/2,417.07 = 515.22/x
  3. Step 3: Cross multiply
    1,611.24x = 2,417.07 × 515.22
  4. Step 4: Simplify right side
    1,611.24x = 1,245,322.81
  5. Step 5: Solve for x
    x = 1,245,322.81/1,611.24
  6. Step 6: Final answer
    x = 772.90

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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.