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Finding the Fourth Proportional to 1,881.03, 2,820.75 and 582.21

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Solution

The fourth proportional to 1,881.03, 2,820.75 and 582.21 is: 873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.03 : 2,820.75 = 582.21 : x
  2. Step 2: Convert to fraction form
    1,881.03/2,820.75 = 582.21/x
  3. Step 3: Cross multiply
    1,881.03x = 2,820.75 × 582.21
  4. Step 4: Simplify right side
    1,881.03x = 1,642,268.86
  5. Step 5: Solve for x
    x = 1,642,268.86/1,881.03
  6. Step 6: Final answer
    x = 873.07

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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.