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Finding the Fourth Proportional to 1,785.90, 2,678.06 and 1,238.24

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Solution

The fourth proportional to 1,785.90, 2,678.06 and 1,238.24 is: 1,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.90 : 2,678.06 = 1,238.24 : x
  2. Step 2: Convert to fraction form
    1,785.90/2,678.06 = 1,238.24/x
  3. Step 3: Cross multiply
    1,785.90x = 2,678.06 × 1,238.24
  4. Step 4: Simplify right side
    1,785.90x = 3,316,081.01
  5. Step 5: Solve for x
    x = 3,316,081.01/1,785.90
  6. Step 6: Final answer
    x = 1,856.81

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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.