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Finding the Fourth Proportional to 1,884.96, 2,823.12 and 1,820.16

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Solution

The fourth proportional to 1,884.96, 2,823.12 and 1,820.16 is: 2,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.96 : 2,823.12 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    1,884.96/2,823.12 = 1,820.16/x
  3. Step 3: Cross multiply
    1,884.96x = 2,823.12 × 1,820.16
  4. Step 4: Simplify right side
    1,884.96x = 5,138,530.10
  5. Step 5: Solve for x
    x = 5,138,530.10/1,884.96
  6. Step 6: Final answer
    x = 2,726.07

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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.