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Finding the Fourth Proportional to 2,588.94, 3,572.13 and 1,469.63

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Solution

The fourth proportional to 2,588.94, 3,572.13 and 1,469.63 is: 2,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.94 : 3,572.13 = 1,469.63 : x
  2. Step 2: Convert to fraction form
    2,588.94/3,572.13 = 1,469.63/x
  3. Step 3: Cross multiply
    2,588.94x = 3,572.13 × 1,469.63
  4. Step 4: Simplify right side
    2,588.94x = 5,249,709.41
  5. Step 5: Solve for x
    x = 5,249,709.41/2,588.94
  6. Step 6: Final answer
    x = 2,027.74

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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.