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Finding the Fourth Proportional to 2,383.40, 3,291.76 and 2,266.76

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Solution

The fourth proportional to 2,383.40, 3,291.76 and 2,266.76 is: 3,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.40 : 3,291.76 = 2,266.76 : x
  2. Step 2: Convert to fraction form
    2,383.40/3,291.76 = 2,266.76/x
  3. Step 3: Cross multiply
    2,383.40x = 3,291.76 × 2,266.76
  4. Step 4: Simplify right side
    2,383.40x = 7,461,629.90
  5. Step 5: Solve for x
    x = 7,461,629.90/2,383.40
  6. Step 6: Final answer
    x = 3,130.67

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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.