Home / 1,589.76-2,367.36-1,584

Finding the Fourth Proportional to 1,589.76, 2,367.36 and 1,584

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Solution

The fourth proportional to 1,589.76, 2,367.36 and 1,584 is: 2,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.76 : 2,367.36 = 1,584 : x
  2. Step 2: Convert to fraction form
    1,589.76/2,367.36 = 1,584/x
  3. Step 3: Cross multiply
    1,589.76x = 2,367.36 × 1,584
  4. Step 4: Simplify right side
    1,589.76x = 3,749,898.24
  5. Step 5: Solve for x
    x = 3,749,898.24/1,589.76
  6. Step 6: Final answer
    x = 2,358.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.