Home / 1,527.85-2,106.97-1,196.16

Finding the Fourth Proportional to 1,527.85, 2,106.97 and 1,196.16

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Solution

The fourth proportional to 1,527.85, 2,106.97 and 1,196.16 is: 1,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.85 : 2,106.97 = 1,196.16 : x
  2. Step 2: Convert to fraction form
    1,527.85/2,106.97 = 1,196.16/x
  3. Step 3: Cross multiply
    1,527.85x = 2,106.97 × 1,196.16
  4. Step 4: Simplify right side
    1,527.85x = 2,520,273.24
  5. Step 5: Solve for x
    x = 2,520,273.24/1,527.85
  6. Step 6: Final answer
    x = 1,649.56

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