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Finding the Fourth Proportional to 3,135.28, 4,702.92 and 1,189.66

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Solution

The fourth proportional to 3,135.28, 4,702.92 and 1,189.66 is: 1,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.28 : 4,702.92 = 1,189.66 : x
  2. Step 2: Convert to fraction form
    3,135.28/4,702.92 = 1,189.66/x
  3. Step 3: Cross multiply
    3,135.28x = 4,702.92 × 1,189.66
  4. Step 4: Simplify right side
    3,135.28x = 5,594,875.81
  5. Step 5: Solve for x
    x = 5,594,875.81/3,135.28
  6. Step 6: Final answer
    x = 1,784.49

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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.