Home / 1,827.14-2,740.55-511.02

Finding the Fourth Proportional to 1,827.14, 2,740.55 and 511.02

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Solution

The fourth proportional to 1,827.14, 2,740.55 and 511.02 is: 766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.14 : 2,740.55 = 511.02 : x
  2. Step 2: Convert to fraction form
    1,827.14/2,740.55 = 511.02/x
  3. Step 3: Cross multiply
    1,827.14x = 2,740.55 × 511.02
  4. Step 4: Simplify right side
    1,827.14x = 1,400,460.54
  5. Step 5: Solve for x
    x = 1,400,460.54/1,827.14
  6. Step 6: Final answer
    x = 766.47

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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.