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Finding the Fourth Proportional to 2,085.84, 3,129.24 and 1,220.88

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Solution

The fourth proportional to 2,085.84, 3,129.24 and 1,220.88 is: 1,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.84 : 3,129.24 = 1,220.88 : x
  2. Step 2: Convert to fraction form
    2,085.84/3,129.24 = 1,220.88/x
  3. Step 3: Cross multiply
    2,085.84x = 3,129.24 × 1,220.88
  4. Step 4: Simplify right side
    2,085.84x = 3,820,426.53
  5. Step 5: Solve for x
    x = 3,820,426.53/2,085.84
  6. Step 6: Final answer
    x = 1,831.60

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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.