Home / 2,106.24-3,158.88-644.64

Finding the Fourth Proportional to 2,106.24, 3,158.88 and 644.64

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Solution

The fourth proportional to 2,106.24, 3,158.88 and 644.64 is: 966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.24 : 3,158.88 = 644.64 : x
  2. Step 2: Convert to fraction form
    2,106.24/3,158.88 = 644.64/x
  3. Step 3: Cross multiply
    2,106.24x = 3,158.88 × 644.64
  4. Step 4: Simplify right side
    2,106.24x = 2,036,340.40
  5. Step 5: Solve for x
    x = 2,036,340.40/2,106.24
  6. Step 6: Final answer
    x = 966.81

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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.