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Finding the Fourth Proportional to 2,018.25, 2,785.19 and 1,319.63

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Solution

The fourth proportional to 2,018.25, 2,785.19 and 1,319.63 is: 1,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.25 : 2,785.19 = 1,319.63 : x
  2. Step 2: Convert to fraction form
    2,018.25/2,785.19 = 1,319.63/x
  3. Step 3: Cross multiply
    2,018.25x = 2,785.19 × 1,319.63
  4. Step 4: Simplify right side
    2,018.25x = 3,675,399.76
  5. Step 5: Solve for x
    x = 3,675,399.76/2,018.25
  6. Step 6: Final answer
    x = 1,821.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.