Home / 1,649.28-2,277.72-1,427.16

Finding the Fourth Proportional to 1,649.28, 2,277.72 and 1,427.16

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Solution

The fourth proportional to 1,649.28, 2,277.72 and 1,427.16 is: 1,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.28 : 2,277.72 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    1,649.28/2,277.72 = 1,427.16/x
  3. Step 3: Cross multiply
    1,649.28x = 2,277.72 × 1,427.16
  4. Step 4: Simplify right side
    1,649.28x = 3,250,670.88
  5. Step 5: Solve for x
    x = 3,250,670.88/1,649.28
  6. Step 6: Final answer
    x = 1,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.