Home / 2,784.54-4,177.14-1,029.25

Finding the Fourth Proportional to 2,784.54, 4,177.14 and 1,029.25

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Solution

The fourth proportional to 2,784.54, 4,177.14 and 1,029.25 is: 1,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.54 : 4,177.14 = 1,029.25 : x
  2. Step 2: Convert to fraction form
    2,784.54/4,177.14 = 1,029.25/x
  3. Step 3: Cross multiply
    2,784.54x = 4,177.14 × 1,029.25
  4. Step 4: Simplify right side
    2,784.54x = 4,299,321.35
  5. Step 5: Solve for x
    x = 4,299,321.35/2,784.54
  6. Step 6: Final answer
    x = 1,544.00

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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.