Home / 1,428.16-2,141.21-964.79

Finding the Fourth Proportional to 1,428.16, 2,141.21 and 964.79

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Solution

The fourth proportional to 1,428.16, 2,141.21 and 964.79 is: 1,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.16 : 2,141.21 = 964.79 : x
  2. Step 2: Convert to fraction form
    1,428.16/2,141.21 = 964.79/x
  3. Step 3: Cross multiply
    1,428.16x = 2,141.21 × 964.79
  4. Step 4: Simplify right side
    1,428.16x = 2,065,820.94
  5. Step 5: Solve for x
    x = 2,065,820.94/1,428.16
  6. Step 6: Final answer
    x = 1,446.49

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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.