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Finding the Fourth Proportional to 3,247.89, 4,482.14 and 1,831.65

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Solution

The fourth proportional to 3,247.89, 4,482.14 and 1,831.65 is: 2,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.89 : 4,482.14 = 1,831.65 : x
  2. Step 2: Convert to fraction form
    3,247.89/4,482.14 = 1,831.65/x
  3. Step 3: Cross multiply
    3,247.89x = 4,482.14 × 1,831.65
  4. Step 4: Simplify right side
    3,247.89x = 8,209,685.76
  5. Step 5: Solve for x
    x = 8,209,685.76/3,247.89
  6. Step 6: Final answer
    x = 2,527.70

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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.