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Finding the Fourth Proportional to 2,831.85, 3,907.68 and 1,652.69

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Solution

The fourth proportional to 2,831.85, 3,907.68 and 1,652.69 is: 2,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.85 : 3,907.68 = 1,652.69 : x
  2. Step 2: Convert to fraction form
    2,831.85/3,907.68 = 1,652.69/x
  3. Step 3: Cross multiply
    2,831.85x = 3,907.68 × 1,652.69
  4. Step 4: Simplify right side
    2,831.85x = 6,458,164.12
  5. Step 5: Solve for x
    x = 6,458,164.12/2,831.85
  6. Step 6: Final answer
    x = 2,280.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.