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Finding the Fourth Proportional to 4,106.68, 6,158.41 and 1,332.68

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Solution

The fourth proportional to 4,106.68, 6,158.41 and 1,332.68 is: 1,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.68 : 6,158.41 = 1,332.68 : x
  2. Step 2: Convert to fraction form
    4,106.68/6,158.41 = 1,332.68/x
  3. Step 3: Cross multiply
    4,106.68x = 6,158.41 × 1,332.68
  4. Step 4: Simplify right side
    4,106.68x = 8,207,155.72
  5. Step 5: Solve for x
    x = 8,207,155.72/4,106.68
  6. Step 6: Final answer
    x = 1,998.49

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Why These Related Problems?

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