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Finding the Fourth Proportional to 3,036.94, 4,190.06 and 1,856.78

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Solution

The fourth proportional to 3,036.94, 4,190.06 and 1,856.78 is: 2,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.94 : 4,190.06 = 1,856.78 : x
  2. Step 2: Convert to fraction form
    3,036.94/4,190.06 = 1,856.78/x
  3. Step 3: Cross multiply
    3,036.94x = 4,190.06 × 1,856.78
  4. Step 4: Simplify right side
    3,036.94x = 7,780,019.61
  5. Step 5: Solve for x
    x = 7,780,019.61/3,036.94
  6. Step 6: Final answer
    x = 2,561.80

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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.