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Finding the Fourth Proportional to 2,106.10, 3,159.67 and 951.54

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Solution

The fourth proportional to 2,106.10, 3,159.67 and 951.54 is: 1,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.10 : 3,159.67 = 951.54 : x
  2. Step 2: Convert to fraction form
    2,106.10/3,159.67 = 951.54/x
  3. Step 3: Cross multiply
    2,106.10x = 3,159.67 × 951.54
  4. Step 4: Simplify right side
    2,106.10x = 3,006,552.39
  5. Step 5: Solve for x
    x = 3,006,552.39/2,106.10
  6. Step 6: Final answer
    x = 1,427.54

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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.