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Finding the Fourth Proportional to 2,615.84, 3,586.46 and 2,569.08

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Solution

The fourth proportional to 2,615.84, 3,586.46 and 2,569.08 is: 3,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.84 : 3,586.46 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    2,615.84/3,586.46 = 2,569.08/x
  3. Step 3: Cross multiply
    2,615.84x = 3,586.46 × 2,569.08
  4. Step 4: Simplify right side
    2,615.84x = 9,213,902.66
  5. Step 5: Solve for x
    x = 9,213,902.66/2,615.84
  6. Step 6: Final answer
    x = 3,522.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.