Home / 1,584.38-2,376.74-414.40

Finding the Fourth Proportional to 1,584.38, 2,376.74 and 414.40

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Solution

The fourth proportional to 1,584.38, 2,376.74 and 414.40 is: 621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.38 : 2,376.74 = 414.40 : x
  2. Step 2: Convert to fraction form
    1,584.38/2,376.74 = 414.40/x
  3. Step 3: Cross multiply
    1,584.38x = 2,376.74 × 414.40
  4. Step 4: Simplify right side
    1,584.38x = 984,921.06
  5. Step 5: Solve for x
    x = 984,921.06/1,584.38
  6. Step 6: Final answer
    x = 621.64

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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.