Home / 1,464.29-2,195.90-424.01

Finding the Fourth Proportional to 1,464.29, 2,195.90 and 424.01

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Solution

The fourth proportional to 1,464.29, 2,195.90 and 424.01 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.29 : 2,195.90 = 424.01 : x
  2. Step 2: Convert to fraction form
    1,464.29/2,195.90 = 424.01/x
  3. Step 3: Cross multiply
    1,464.29x = 2,195.90 × 424.01
  4. Step 4: Simplify right side
    1,464.29x = 931,070.46
  5. Step 5: Solve for x
    x = 931,070.46/1,464.29
  6. Step 6: Final answer
    x = 635.85

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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.