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Finding the Fourth Proportional to 2,695.68, 3,716.69 and 2,225.48

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Solution

The fourth proportional to 2,695.68, 3,716.69 and 2,225.48 is: 3,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.68 : 3,716.69 = 2,225.48 : x
  2. Step 2: Convert to fraction form
    2,695.68/3,716.69 = 2,225.48/x
  3. Step 3: Cross multiply
    2,695.68x = 3,716.69 × 2,225.48
  4. Step 4: Simplify right side
    2,695.68x = 8,271,389.55
  5. Step 5: Solve for x
    x = 8,271,389.55/2,695.68
  6. Step 6: Final answer
    x = 3,068.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.