Home / 1,412.16-2,119.04-546.56

Finding the Fourth Proportional to 1,412.16, 2,119.04 and 546.56

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Solution

The fourth proportional to 1,412.16, 2,119.04 and 546.56 is: 820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.16 : 2,119.04 = 546.56 : x
  2. Step 2: Convert to fraction form
    1,412.16/2,119.04 = 546.56/x
  3. Step 3: Cross multiply
    1,412.16x = 2,119.04 × 546.56
  4. Step 4: Simplify right side
    1,412.16x = 1,158,182.50
  5. Step 5: Solve for x
    x = 1,158,182.50/1,412.16
  6. Step 6: Final answer
    x = 820.15

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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.