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Finding the Fourth Proportional to 2,112.48, 3,153.48 and 1,784.80

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Solution

The fourth proportional to 2,112.48, 3,153.48 and 1,784.80 is: 2,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.48 : 3,153.48 = 1,784.80 : x
  2. Step 2: Convert to fraction form
    2,112.48/3,153.48 = 1,784.80/x
  3. Step 3: Cross multiply
    2,112.48x = 3,153.48 × 1,784.80
  4. Step 4: Simplify right side
    2,112.48x = 5,628,331.10
  5. Step 5: Solve for x
    x = 5,628,331.10/2,112.48
  6. Step 6: Final answer
    x = 2,664.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.