Home / 1,649.36-2,472.60-1,407.44

Finding the Fourth Proportional to 1,649.36, 2,472.60 and 1,407.44

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Solution

The fourth proportional to 1,649.36, 2,472.60 and 1,407.44 is: 2,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.36 : 2,472.60 = 1,407.44 : x
  2. Step 2: Convert to fraction form
    1,649.36/2,472.60 = 1,407.44/x
  3. Step 3: Cross multiply
    1,649.36x = 2,472.60 × 1,407.44
  4. Step 4: Simplify right side
    1,649.36x = 3,480,036.14
  5. Step 5: Solve for x
    x = 3,480,036.14/1,649.36
  6. Step 6: Final answer
    x = 2,109.93

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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.