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Finding the Fourth Proportional to 2,106.95, 3,152.68 and 1,271.03

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Solution

The fourth proportional to 2,106.95, 3,152.68 and 1,271.03 is: 1,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.95 : 3,152.68 = 1,271.03 : x
  2. Step 2: Convert to fraction form
    2,106.95/3,152.68 = 1,271.03/x
  3. Step 3: Cross multiply
    2,106.95x = 3,152.68 × 1,271.03
  4. Step 4: Simplify right side
    2,106.95x = 4,007,155.56
  5. Step 5: Solve for x
    x = 4,007,155.56/2,106.95
  6. Step 6: Final answer
    x = 1,901.87

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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.