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Finding the Fourth Proportional to 2,068.44, 3,102.84 and 587.68

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Solution

The fourth proportional to 2,068.44, 3,102.84 and 587.68 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.44 : 3,102.84 = 587.68 : x
  2. Step 2: Convert to fraction form
    2,068.44/3,102.84 = 587.68/x
  3. Step 3: Cross multiply
    2,068.44x = 3,102.84 × 587.68
  4. Step 4: Simplify right side
    2,068.44x = 1,823,477.01
  5. Step 5: Solve for x
    x = 1,823,477.01/2,068.44
  6. Step 6: Final answer
    x = 881.57

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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.