Home / 1,459.46-2,192.98-1,097.66

Finding the Fourth Proportional to 1,459.46, 2,192.98 and 1,097.66

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Solution

The fourth proportional to 1,459.46, 2,192.98 and 1,097.66 is: 1,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.46 : 2,192.98 = 1,097.66 : x
  2. Step 2: Convert to fraction form
    1,459.46/2,192.98 = 1,097.66/x
  3. Step 3: Cross multiply
    1,459.46x = 2,192.98 × 1,097.66
  4. Step 4: Simplify right side
    1,459.46x = 2,407,146.43
  5. Step 5: Solve for x
    x = 2,407,146.43/1,459.46
  6. Step 6: Final answer
    x = 1,649.34

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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.