Home / 1,407.08-2,110.48-419.91

Finding the Fourth Proportional to 1,407.08, 2,110.48 and 419.91

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Solution

The fourth proportional to 1,407.08, 2,110.48 and 419.91 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 2,110.48 = 419.91 : x
  2. Step 2: Convert to fraction form
    1,407.08/2,110.48 = 419.91/x
  3. Step 3: Cross multiply
    1,407.08x = 2,110.48 × 419.91
  4. Step 4: Simplify right side
    1,407.08x = 886,212.18
  5. Step 5: Solve for x
    x = 886,212.18/1,407.08
  6. Step 6: Final answer
    x = 629.82

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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.