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Finding the Fourth Proportional to 2,564.10, 3,842.10 and 2,215.80

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Solution

The fourth proportional to 2,564.10, 3,842.10 and 2,215.80 is: 3,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.10 : 3,842.10 = 2,215.80 : x
  2. Step 2: Convert to fraction form
    2,564.10/3,842.10 = 2,215.80/x
  3. Step 3: Cross multiply
    2,564.10x = 3,842.10 × 2,215.80
  4. Step 4: Simplify right side
    2,564.10x = 8,513,325.18
  5. Step 5: Solve for x
    x = 8,513,325.18/2,564.10
  6. Step 6: Final answer
    x = 3,320.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.