Home / 1,584.52-2,376.74-430.24

Finding the Fourth Proportional to 1,584.52, 2,376.74 and 430.24

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Solution

The fourth proportional to 1,584.52, 2,376.74 and 430.24 is: 645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.52 : 2,376.74 = 430.24 : x
  2. Step 2: Convert to fraction form
    1,584.52/2,376.74 = 430.24/x
  3. Step 3: Cross multiply
    1,584.52x = 2,376.74 × 430.24
  4. Step 4: Simplify right side
    1,584.52x = 1,022,568.62
  5. Step 5: Solve for x
    x = 1,022,568.62/1,584.52
  6. Step 6: Final answer
    x = 645.35

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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.