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Finding the Fourth Proportional to 2,314.94, 3,194.61 and 1,267.00

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Solution

The fourth proportional to 2,314.94, 3,194.61 and 1,267.00 is: 1,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.94 : 3,194.61 = 1,267.00 : x
  2. Step 2: Convert to fraction form
    2,314.94/3,194.61 = 1,267.00/x
  3. Step 3: Cross multiply
    2,314.94x = 3,194.61 × 1,267.00
  4. Step 4: Simplify right side
    2,314.94x = 4,047,577.81
  5. Step 5: Solve for x
    x = 4,047,577.81/2,314.94
  6. Step 6: Final answer
    x = 1,748.46

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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.