Home / 1,634.92-2,257.44-1,006.32

Finding the Fourth Proportional to 1,634.92, 2,257.44 and 1,006.32

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Solution

The fourth proportional to 1,634.92, 2,257.44 and 1,006.32 is: 1,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.92 : 2,257.44 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    1,634.92/2,257.44 = 1,006.32/x
  3. Step 3: Cross multiply
    1,634.92x = 2,257.44 × 1,006.32
  4. Step 4: Simplify right side
    1,634.92x = 2,271,711.71
  5. Step 5: Solve for x
    x = 2,271,711.71/1,634.92
  6. Step 6: Final answer
    x = 1,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.