Home / 1,649.18-2,474.09-538.91

Finding the Fourth Proportional to 1,649.18, 2,474.09 and 538.91

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Solution

The fourth proportional to 1,649.18, 2,474.09 and 538.91 is: 808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.18 : 2,474.09 = 538.91 : x
  2. Step 2: Convert to fraction form
    1,649.18/2,474.09 = 538.91/x
  3. Step 3: Cross multiply
    1,649.18x = 2,474.09 × 538.91
  4. Step 4: Simplify right side
    1,649.18x = 1,333,311.84
  5. Step 5: Solve for x
    x = 1,333,311.84/1,649.18
  6. Step 6: Final answer
    x = 808.47

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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.