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Finding the Fourth Proportional to 2,043.54, 2,820.16 and 1,112.04

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Solution

The fourth proportional to 2,043.54, 2,820.16 and 1,112.04 is: 1,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.54 : 2,820.16 = 1,112.04 : x
  2. Step 2: Convert to fraction form
    2,043.54/2,820.16 = 1,112.04/x
  3. Step 3: Cross multiply
    2,043.54x = 2,820.16 × 1,112.04
  4. Step 4: Simplify right side
    2,043.54x = 3,136,130.73
  5. Step 5: Solve for x
    x = 3,136,130.73/2,043.54
  6. Step 6: Final answer
    x = 1,534.66

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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.