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Finding the Fourth Proportional to 1,687.01, 2,324.55 and 1,570.22

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Solution

The fourth proportional to 1,687.01, 2,324.55 and 1,570.22 is: 2,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.01 : 2,324.55 = 1,570.22 : x
  2. Step 2: Convert to fraction form
    1,687.01/2,324.55 = 1,570.22/x
  3. Step 3: Cross multiply
    1,687.01x = 2,324.55 × 1,570.22
  4. Step 4: Simplify right side
    1,687.01x = 3,650,054.90
  5. Step 5: Solve for x
    x = 3,650,054.90/1,687.01
  6. Step 6: Final answer
    x = 2,163.62

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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.