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Finding the Fourth Proportional to 2,588.50, 3,572.04 and 1,469.53

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Solution

The fourth proportional to 2,588.50, 3,572.04 and 1,469.53 is: 2,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.50 : 3,572.04 = 1,469.53 : x
  2. Step 2: Convert to fraction form
    2,588.50/3,572.04 = 1,469.53/x
  3. Step 3: Cross multiply
    2,588.50x = 3,572.04 × 1,469.53
  4. Step 4: Simplify right side
    2,588.50x = 5,249,219.94
  5. Step 5: Solve for x
    x = 5,249,219.94/2,588.50
  6. Step 6: Final answer
    x = 2,027.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.