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Finding the Fourth Proportional to 2,018.06, 3,026.55 and 785.30

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Solution

The fourth proportional to 2,018.06, 3,026.55 and 785.30 is: 1,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.06 : 3,026.55 = 785.30 : x
  2. Step 2: Convert to fraction form
    2,018.06/3,026.55 = 785.30/x
  3. Step 3: Cross multiply
    2,018.06x = 3,026.55 × 785.30
  4. Step 4: Simplify right side
    2,018.06x = 2,376,749.72
  5. Step 5: Solve for x
    x = 2,376,749.72/2,018.06
  6. Step 6: Final answer
    x = 1,177.74

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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.