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Finding the Fourth Proportional to 2,831.69, 4,247.76 and 1,188.74

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Solution

The fourth proportional to 2,831.69, 4,247.76 and 1,188.74 is: 1,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.69 : 4,247.76 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    2,831.69/4,247.76 = 1,188.74/x
  3. Step 3: Cross multiply
    2,831.69x = 4,247.76 × 1,188.74
  4. Step 4: Simplify right side
    2,831.69x = 5,049,482.22
  5. Step 5: Solve for x
    x = 5,049,482.22/2,831.69
  6. Step 6: Final answer
    x = 1,783.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.