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Finding the Fourth Proportional to 2,564.30, 3,553.59 and 2,515.08

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Solution

The fourth proportional to 2,564.30, 3,553.59 and 2,515.08 is: 3,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.30 : 3,553.59 = 2,515.08 : x
  2. Step 2: Convert to fraction form
    2,564.30/3,553.59 = 2,515.08/x
  3. Step 3: Cross multiply
    2,564.30x = 3,553.59 × 2,515.08
  4. Step 4: Simplify right side
    2,564.30x = 8,937,563.14
  5. Step 5: Solve for x
    x = 8,937,563.14/2,564.30
  6. Step 6: Final answer
    x = 3,485.39

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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.