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Finding the Fourth Proportional to 1,788.76, 2,682.15 and 618.22

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Solution

The fourth proportional to 1,788.76, 2,682.15 and 618.22 is: 926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.76 : 2,682.15 = 618.22 : x
  2. Step 2: Convert to fraction form
    1,788.76/2,682.15 = 618.22/x
  3. Step 3: Cross multiply
    1,788.76x = 2,682.15 × 618.22
  4. Step 4: Simplify right side
    1,788.76x = 1,658,158.77
  5. Step 5: Solve for x
    x = 1,658,158.77/1,788.76
  6. Step 6: Final answer
    x = 926.99

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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.