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Finding the Fourth Proportional to 1,652.94, 2,480.09 and 831.74

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Solution

The fourth proportional to 1,652.94, 2,480.09 and 831.74 is: 1,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.94 : 2,480.09 = 831.74 : x
  2. Step 2: Convert to fraction form
    1,652.94/2,480.09 = 831.74/x
  3. Step 3: Cross multiply
    1,652.94x = 2,480.09 × 831.74
  4. Step 4: Simplify right side
    1,652.94x = 2,062,773.50
  5. Step 5: Solve for x
    x = 2,062,773.50/1,652.94
  6. Step 6: Final answer
    x = 1,247.94

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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.