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Finding the Fourth Proportional to 2,043.92, 2,820.72 and 1,159.84

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Solution

The fourth proportional to 2,043.92, 2,820.72 and 1,159.84 is: 1,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.92 : 2,820.72 = 1,159.84 : x
  2. Step 2: Convert to fraction form
    2,043.92/2,820.72 = 1,159.84/x
  3. Step 3: Cross multiply
    2,043.92x = 2,820.72 × 1,159.84
  4. Step 4: Simplify right side
    2,043.92x = 3,271,583.88
  5. Step 5: Solve for x
    x = 3,271,583.88/2,043.92
  6. Step 6: Final answer
    x = 1,600.64

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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.