Home / 1,454.40-2,181.42-414.48

Finding the Fourth Proportional to 1,454.40, 2,181.42 and 414.48

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Solution

The fourth proportional to 1,454.40, 2,181.42 and 414.48 is: 621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.40 : 2,181.42 = 414.48 : x
  2. Step 2: Convert to fraction form
    1,454.40/2,181.42 = 414.48/x
  3. Step 3: Cross multiply
    1,454.40x = 2,181.42 × 414.48
  4. Step 4: Simplify right side
    1,454.40x = 904,154.96
  5. Step 5: Solve for x
    x = 904,154.96/1,454.40
  6. Step 6: Final answer
    x = 621.67

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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.