Home / 2,831.50-3,907.65-1,784.26

Finding the Fourth Proportional to 2,831.50, 3,907.65 and 1,784.26

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Solution

The fourth proportional to 2,831.50, 3,907.65 and 1,784.26 is: 2,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.50 : 3,907.65 = 1,784.26 : x
  2. Step 2: Convert to fraction form
    2,831.50/3,907.65 = 1,784.26/x
  3. Step 3: Cross multiply
    2,831.50x = 3,907.65 × 1,784.26
  4. Step 4: Simplify right side
    2,831.50x = 6,972,263.59
  5. Step 5: Solve for x
    x = 6,972,263.59/2,831.50
  6. Step 6: Final answer
    x = 2,462.39

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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.