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Finding the Fourth Proportional to 1,611.10, 2,417.32 and 571.24

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Solution

The fourth proportional to 1,611.10, 2,417.32 and 571.24 is: 857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.10 : 2,417.32 = 571.24 : x
  2. Step 2: Convert to fraction form
    1,611.10/2,417.32 = 571.24/x
  3. Step 3: Cross multiply
    1,611.10x = 2,417.32 × 571.24
  4. Step 4: Simplify right side
    1,611.10x = 1,380,869.88
  5. Step 5: Solve for x
    x = 1,380,869.88/1,611.10
  6. Step 6: Final answer
    x = 857.10

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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.