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Finding the Fourth Proportional to 1,500.68, 2,070.82 and 871.23

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Solution

The fourth proportional to 1,500.68, 2,070.82 and 871.23 is: 1,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.68 : 2,070.82 = 871.23 : x
  2. Step 2: Convert to fraction form
    1,500.68/2,070.82 = 871.23/x
  3. Step 3: Cross multiply
    1,500.68x = 2,070.82 × 871.23
  4. Step 4: Simplify right side
    1,500.68x = 1,804,158.64
  5. Step 5: Solve for x
    x = 1,804,158.64/1,500.68
  6. Step 6: Final answer
    x = 1,202.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.