Home / 2,106.74-3,157.64-1,585.06

Finding the Fourth Proportional to 2,106.74, 3,157.64 and 1,585.06

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Solution

The fourth proportional to 2,106.74, 3,157.64 and 1,585.06 is: 2,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.74 : 3,157.64 = 1,585.06 : x
  2. Step 2: Convert to fraction form
    2,106.74/3,157.64 = 1,585.06/x
  3. Step 3: Cross multiply
    2,106.74x = 3,157.64 × 1,585.06
  4. Step 4: Simplify right side
    2,106.74x = 5,005,052.82
  5. Step 5: Solve for x
    x = 5,005,052.82/2,106.74
  6. Step 6: Final answer
    x = 2,375.74

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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.