Home / 1,577.58-2,176.91-914.61

Finding the Fourth Proportional to 1,577.58, 2,176.91 and 914.61

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Solution

The fourth proportional to 1,577.58, 2,176.91 and 914.61 is: 1,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.58 : 2,176.91 = 914.61 : x
  2. Step 2: Convert to fraction form
    1,577.58/2,176.91 = 914.61/x
  3. Step 3: Cross multiply
    1,577.58x = 2,176.91 × 914.61
  4. Step 4: Simplify right side
    1,577.58x = 1,991,019.08
  5. Step 5: Solve for x
    x = 1,991,019.08/1,577.58
  6. Step 6: Final answer
    x = 1,262.07

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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.