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Finding the Fourth Proportional to 2,315.13, 3,194.90 and 1,267.21

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Solution

The fourth proportional to 2,315.13, 3,194.90 and 1,267.21 is: 1,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.13 : 3,194.90 = 1,267.21 : x
  2. Step 2: Convert to fraction form
    2,315.13/3,194.90 = 1,267.21/x
  3. Step 3: Cross multiply
    2,315.13x = 3,194.90 × 1,267.21
  4. Step 4: Simplify right side
    2,315.13x = 4,048,602.89
  5. Step 5: Solve for x
    x = 4,048,602.89/2,315.13
  6. Step 6: Final answer
    x = 1,748.76

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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.