Home / 1,742.83-2,611.10-1,705.93

Finding the Fourth Proportional to 1,742.83, 2,611.10 and 1,705.93

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Solution

The fourth proportional to 1,742.83, 2,611.10 and 1,705.93 is: 2,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.83 : 2,611.10 = 1,705.93 : x
  2. Step 2: Convert to fraction form
    1,742.83/2,611.10 = 1,705.93/x
  3. Step 3: Cross multiply
    1,742.83x = 2,611.10 × 1,705.93
  4. Step 4: Simplify right side
    1,742.83x = 4,454,351.56
  5. Step 5: Solve for x
    x = 4,454,351.56/1,742.83
  6. Step 6: Final answer
    x = 2,555.82

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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.