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Finding the Fourth Proportional to 2,831.94, 4,248.36 and 2,636.28

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Solution

The fourth proportional to 2,831.94, 4,248.36 and 2,636.28 is: 3,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.94 : 4,248.36 = 2,636.28 : x
  2. Step 2: Convert to fraction form
    2,831.94/4,248.36 = 2,636.28/x
  3. Step 3: Cross multiply
    2,831.94x = 4,248.36 × 2,636.28
  4. Step 4: Simplify right side
    2,831.94x = 11,199,866.50
  5. Step 5: Solve for x
    x = 11,199,866.50/2,831.94
  6. Step 6: Final answer
    x = 3,954.84

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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.