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Finding the Fourth Proportional to 2,588.84, 3,572.30 and 1,469.56

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Solution

The fourth proportional to 2,588.84, 3,572.30 and 1,469.56 is: 2,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.84 : 3,572.30 = 1,469.56 : x
  2. Step 2: Convert to fraction form
    2,588.84/3,572.30 = 1,469.56/x
  3. Step 3: Cross multiply
    2,588.84x = 3,572.30 × 1,469.56
  4. Step 4: Simplify right side
    2,588.84x = 5,249,709.19
  5. Step 5: Solve for x
    x = 5,249,709.19/2,588.84
  6. Step 6: Final answer
    x = 2,027.82

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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.