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Finding the Fourth Proportional to 2,106.35, 3,159.86 and 719.76

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Solution

The fourth proportional to 2,106.35, 3,159.86 and 719.76 is: 1,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.35 : 3,159.86 = 719.76 : x
  2. Step 2: Convert to fraction form
    2,106.35/3,159.86 = 719.76/x
  3. Step 3: Cross multiply
    2,106.35x = 3,159.86 × 719.76
  4. Step 4: Simplify right side
    2,106.35x = 2,274,340.83
  5. Step 5: Solve for x
    x = 2,274,340.83/2,106.35
  6. Step 6: Final answer
    x = 1,079.75

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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.