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Finding the Fourth Proportional to 1,820.29, 2,730.47 and 587.81

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Solution

The fourth proportional to 1,820.29, 2,730.47 and 587.81 is: 881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.29 : 2,730.47 = 587.81 : x
  2. Step 2: Convert to fraction form
    1,820.29/2,730.47 = 587.81/x
  3. Step 3: Cross multiply
    1,820.29x = 2,730.47 × 587.81
  4. Step 4: Simplify right side
    1,820.29x = 1,604,997.57
  5. Step 5: Solve for x
    x = 1,604,997.57/1,820.29
  6. Step 6: Final answer
    x = 881.73

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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.