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Finding the Fourth Proportional to 2,831.80, 3,907.91 and 1,652.65

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Solution

The fourth proportional to 2,831.80, 3,907.91 and 1,652.65 is: 2,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.80 : 3,907.91 = 1,652.65 : x
  2. Step 2: Convert to fraction form
    2,831.80/3,907.91 = 1,652.65/x
  3. Step 3: Cross multiply
    2,831.80x = 3,907.91 × 1,652.65
  4. Step 4: Simplify right side
    2,831.80x = 6,458,387.92
  5. Step 5: Solve for x
    x = 6,458,387.92/2,831.80
  6. Step 6: Final answer
    x = 2,280.67

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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.