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Finding the Fourth Proportional to 2,589.70, 3,570.45 and 1,882.57

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Solution

The fourth proportional to 2,589.70, 3,570.45 and 1,882.57 is: 2,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.70 : 3,570.45 = 1,882.57 : x
  2. Step 2: Convert to fraction form
    2,589.70/3,570.45 = 1,882.57/x
  3. Step 3: Cross multiply
    2,589.70x = 3,570.45 × 1,882.57
  4. Step 4: Simplify right side
    2,589.70x = 6,721,622.06
  5. Step 5: Solve for x
    x = 6,721,622.06/2,589.70
  6. Step 6: Final answer
    x = 2,595.52

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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.