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Finding the Fourth Proportional to 2,785.86, 4,173.93 and 1,486.62

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Solution

The fourth proportional to 2,785.86, 4,173.93 and 1,486.62 is: 2,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.86 : 4,173.93 = 1,486.62 : x
  2. Step 2: Convert to fraction form
    2,785.86/4,173.93 = 1,486.62/x
  3. Step 3: Cross multiply
    2,785.86x = 4,173.93 × 1,486.62
  4. Step 4: Simplify right side
    2,785.86x = 6,205,047.82
  5. Step 5: Solve for x
    x = 6,205,047.82/2,785.86
  6. Step 6: Final answer
    x = 2,227.34

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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.