Home / 1,540.26-2,125.68-877.14

Finding the Fourth Proportional to 1,540.26, 2,125.68 and 877.14

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Solution

The fourth proportional to 1,540.26, 2,125.68 and 877.14 is: 1,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.26 : 2,125.68 = 877.14 : x
  2. Step 2: Convert to fraction form
    1,540.26/2,125.68 = 877.14/x
  3. Step 3: Cross multiply
    1,540.26x = 2,125.68 × 877.14
  4. Step 4: Simplify right side
    1,540.26x = 1,864,518.96
  5. Step 5: Solve for x
    x = 1,864,518.96/1,540.26
  6. Step 6: Final answer
    x = 1,210.52

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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.