Home / 1,649.09-2,471.19-917.66

Finding the Fourth Proportional to 1,649.09, 2,471.19 and 917.66

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Solution

The fourth proportional to 1,649.09, 2,471.19 and 917.66 is: 1,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.09 : 2,471.19 = 917.66 : x
  2. Step 2: Convert to fraction form
    1,649.09/2,471.19 = 917.66/x
  3. Step 3: Cross multiply
    1,649.09x = 2,471.19 × 917.66
  4. Step 4: Simplify right side
    1,649.09x = 2,267,699.86
  5. Step 5: Solve for x
    x = 2,267,699.86/1,649.09
  6. Step 6: Final answer
    x = 1,375.13

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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.