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Finding the Fourth Proportional to 2,106.47, 3,159.74 and 1,134.47

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Solution

The fourth proportional to 2,106.47, 3,159.74 and 1,134.47 is: 1,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.47 : 3,159.74 = 1,134.47 : x
  2. Step 2: Convert to fraction form
    2,106.47/3,159.74 = 1,134.47/x
  3. Step 3: Cross multiply
    2,106.47x = 3,159.74 × 1,134.47
  4. Step 4: Simplify right side
    2,106.47x = 3,584,640.97
  5. Step 5: Solve for x
    x = 3,584,640.97/2,106.47
  6. Step 6: Final answer
    x = 1,701.73

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