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Finding the Fourth Proportional to 2,580.66, 3,855.60 and 2,522.34

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Solution

The fourth proportional to 2,580.66, 3,855.60 and 2,522.34 is: 3,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.66 : 3,855.60 = 2,522.34 : x
  2. Step 2: Convert to fraction form
    2,580.66/3,855.60 = 2,522.34/x
  3. Step 3: Cross multiply
    2,580.66x = 3,855.60 × 2,522.34
  4. Step 4: Simplify right side
    2,580.66x = 9,725,134.10
  5. Step 5: Solve for x
    x = 9,725,134.10/2,580.66
  6. Step 6: Final answer
    x = 3,768.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.