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Finding the Fourth Proportional to 1,884.83, 2,820.69 and 1,144.01

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Solution

The fourth proportional to 1,884.83, 2,820.69 and 1,144.01 is: 1,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.83 : 2,820.69 = 1,144.01 : x
  2. Step 2: Convert to fraction form
    1,884.83/2,820.69 = 1,144.01/x
  3. Step 3: Cross multiply
    1,884.83x = 2,820.69 × 1,144.01
  4. Step 4: Simplify right side
    1,884.83x = 3,226,897.57
  5. Step 5: Solve for x
    x = 3,226,897.57/1,884.83
  6. Step 6: Final answer
    x = 1,712.04

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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.