Home / 1,534.38-2,299.71-1,100.64

Finding the Fourth Proportional to 1,534.38, 2,299.71 and 1,100.64

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Solution

The fourth proportional to 1,534.38, 2,299.71 and 1,100.64 is: 1,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.38 : 2,299.71 = 1,100.64 : x
  2. Step 2: Convert to fraction form
    1,534.38/2,299.71 = 1,100.64/x
  3. Step 3: Cross multiply
    1,534.38x = 2,299.71 × 1,100.64
  4. Step 4: Simplify right side
    1,534.38x = 2,531,152.81
  5. Step 5: Solve for x
    x = 2,531,152.81/1,534.38
  6. Step 6: Final answer
    x = 1,649.63

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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.