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Finding the Fourth Proportional to 1,879.29, 2,820.33 and 710.43

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Solution

The fourth proportional to 1,879.29, 2,820.33 and 710.43 is: 1,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.29 : 2,820.33 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,879.29/2,820.33 = 710.43/x
  3. Step 3: Cross multiply
    1,879.29x = 2,820.33 × 710.43
  4. Step 4: Simplify right side
    1,879.29x = 2,003,647.04
  5. Step 5: Solve for x
    x = 2,003,647.04/1,879.29
  6. Step 6: Final answer
    x = 1,066.17

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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.