Home / 1,416.76-2,125.23-443.14

Finding the Fourth Proportional to 1,416.76, 2,125.23 and 443.14

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Solution

The fourth proportional to 1,416.76, 2,125.23 and 443.14 is: 664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.76 : 2,125.23 = 443.14 : x
  2. Step 2: Convert to fraction form
    1,416.76/2,125.23 = 443.14/x
  3. Step 3: Cross multiply
    1,416.76x = 2,125.23 × 443.14
  4. Step 4: Simplify right side
    1,416.76x = 941,774.42
  5. Step 5: Solve for x
    x = 941,774.42/1,416.76
  6. Step 6: Final answer
    x = 664.74

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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.