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Finding the Fourth Proportional to 4,105.81, 6,159.02 and 1,332.93

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Solution

The fourth proportional to 4,105.81, 6,159.02 and 1,332.93 is: 1,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.81 : 6,159.02 = 1,332.93 : x
  2. Step 2: Convert to fraction form
    4,105.81/6,159.02 = 1,332.93/x
  3. Step 3: Cross multiply
    4,105.81x = 6,159.02 × 1,332.93
  4. Step 4: Simplify right side
    4,105.81x = 8,209,505.07
  5. Step 5: Solve for x
    x = 8,209,505.07/4,105.81
  6. Step 6: Final answer
    x = 1,999.49

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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.