Home / 1,461.15-2,191.22-420.88

Finding the Fourth Proportional to 1,461.15, 2,191.22 and 420.88

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Solution

The fourth proportional to 1,461.15, 2,191.22 and 420.88 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.15 : 2,191.22 = 420.88 : x
  2. Step 2: Convert to fraction form
    1,461.15/2,191.22 = 420.88/x
  3. Step 3: Cross multiply
    1,461.15x = 2,191.22 × 420.88
  4. Step 4: Simplify right side
    1,461.15x = 922,233.09
  5. Step 5: Solve for x
    x = 922,233.09/1,461.15
  6. Step 6: Final answer
    x = 631.17

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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.