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Finding the Fourth Proportional to 2,303.40, 3,179.14 and 1,308.72

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Solution

The fourth proportional to 2,303.40, 3,179.14 and 1,308.72 is: 1,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.40 : 3,179.14 = 1,308.72 : x
  2. Step 2: Convert to fraction form
    2,303.40/3,179.14 = 1,308.72/x
  3. Step 3: Cross multiply
    2,303.40x = 3,179.14 × 1,308.72
  4. Step 4: Simplify right side
    2,303.40x = 4,160,604.10
  5. Step 5: Solve for x
    x = 4,160,604.10/2,303.40
  6. Step 6: Final answer
    x = 1,806.29

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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.