Home / 2,110.16-3,165.24-649.31

Finding the Fourth Proportional to 2,110.16, 3,165.24 and 649.31

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Solution

The fourth proportional to 2,110.16, 3,165.24 and 649.31 is: 973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.16 : 3,165.24 = 649.31 : x
  2. Step 2: Convert to fraction form
    2,110.16/3,165.24 = 649.31/x
  3. Step 3: Cross multiply
    2,110.16x = 3,165.24 × 649.31
  4. Step 4: Simplify right side
    2,110.16x = 2,055,206.16
  5. Step 5: Solve for x
    x = 2,055,206.16/2,110.16
  6. Step 6: Final answer
    x = 973.96

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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.