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Finding the Fourth Proportional to 2,301.79, 3,455.69 and 1,366.44

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Solution

The fourth proportional to 2,301.79, 3,455.69 and 1,366.44 is: 2,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.79 : 3,455.69 = 1,366.44 : x
  2. Step 2: Convert to fraction form
    2,301.79/3,455.69 = 1,366.44/x
  3. Step 3: Cross multiply
    2,301.79x = 3,455.69 × 1,366.44
  4. Step 4: Simplify right side
    2,301.79x = 4,721,996.46
  5. Step 5: Solve for x
    x = 4,721,996.46/2,301.79
  6. Step 6: Final answer
    x = 2,051.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.