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Finding the Fourth Proportional to 2,588.14, 3,572.04 and 1,540.81

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Solution

The fourth proportional to 2,588.14, 3,572.04 and 1,540.81 is: 2,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.14 : 3,572.04 = 1,540.81 : x
  2. Step 2: Convert to fraction form
    2,588.14/3,572.04 = 1,540.81/x
  3. Step 3: Cross multiply
    2,588.14x = 3,572.04 × 1,540.81
  4. Step 4: Simplify right side
    2,588.14x = 5,503,834.95
  5. Step 5: Solve for x
    x = 5,503,834.95/2,588.14
  6. Step 6: Final answer
    x = 2,126.56

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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.