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Finding the Fourth Proportional to 3,104.42, 4,284.13 and 1,688.13

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Solution

The fourth proportional to 3,104.42, 4,284.13 and 1,688.13 is: 2,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.42 : 4,284.13 = 1,688.13 : x
  2. Step 2: Convert to fraction form
    3,104.42/4,284.13 = 1,688.13/x
  3. Step 3: Cross multiply
    3,104.42x = 4,284.13 × 1,688.13
  4. Step 4: Simplify right side
    3,104.42x = 7,232,168.38
  5. Step 5: Solve for x
    x = 7,232,168.38/3,104.42
  6. Step 6: Final answer
    x = 2,329.64

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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.