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Finding the Fourth Proportional to 2,314.95, 3,194.63 and 1,306.88

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Solution

The fourth proportional to 2,314.95, 3,194.63 and 1,306.88 is: 1,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.95 : 3,194.63 = 1,306.88 : x
  2. Step 2: Convert to fraction form
    2,314.95/3,194.63 = 1,306.88/x
  3. Step 3: Cross multiply
    2,314.95x = 3,194.63 × 1,306.88
  4. Step 4: Simplify right side
    2,314.95x = 4,174,982.08
  5. Step 5: Solve for x
    x = 4,174,982.08/2,314.95
  6. Step 6: Final answer
    x = 1,803.49

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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.