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Finding the Fourth Proportional to 3,037.34, 4,194.10 and 1,858.80

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Solution

The fourth proportional to 3,037.34, 4,194.10 and 1,858.80 is: 2,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.34 : 4,194.10 = 1,858.80 : x
  2. Step 2: Convert to fraction form
    3,037.34/4,194.10 = 1,858.80/x
  3. Step 3: Cross multiply
    3,037.34x = 4,194.10 × 1,858.80
  4. Step 4: Simplify right side
    3,037.34x = 7,795,993.08
  5. Step 5: Solve for x
    x = 7,795,993.08/3,037.34
  6. Step 6: Final answer
    x = 2,566.72

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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.