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Finding the Fourth Proportional to 2,822.64, 4,225.32 and 2,090.40

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Solution

The fourth proportional to 2,822.64, 4,225.32 and 2,090.40 is: 3,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.64 : 4,225.32 = 2,090.40 : x
  2. Step 2: Convert to fraction form
    2,822.64/4,225.32 = 2,090.40/x
  3. Step 3: Cross multiply
    2,822.64x = 4,225.32 × 2,090.40
  4. Step 4: Simplify right side
    2,822.64x = 8,832,608.93
  5. Step 5: Solve for x
    x = 8,832,608.93/2,822.64
  6. Step 6: Final answer
    x = 3,129.20

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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.