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Finding the Fourth Proportional to 2,583, 3,583.62 and 2,558.70

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Solution

The fourth proportional to 2,583, 3,583.62 and 2,558.70 is: 3,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,583.62 = 2,558.70 : x
  2. Step 2: Convert to fraction form
    2,583/3,583.62 = 2,558.70/x
  3. Step 3: Cross multiply
    2,583x = 3,583.62 × 2,558.70
  4. Step 4: Simplify right side
    2,583x = 9,169,408.49
  5. Step 5: Solve for x
    x = 9,169,408.49/2,583
  6. Step 6: Final answer
    x = 3,549.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.