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Finding the Fourth Proportional to 2,368.14, 3,267.80 and 1,373.74

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Solution

The fourth proportional to 2,368.14, 3,267.80 and 1,373.74 is: 1,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.14 : 3,267.80 = 1,373.74 : x
  2. Step 2: Convert to fraction form
    2,368.14/3,267.80 = 1,373.74/x
  3. Step 3: Cross multiply
    2,368.14x = 3,267.80 × 1,373.74
  4. Step 4: Simplify right side
    2,368.14x = 4,489,107.57
  5. Step 5: Solve for x
    x = 4,489,107.57/2,368.14
  6. Step 6: Final answer
    x = 1,895.63

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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.