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Finding the Fourth Proportional to 2,358.34, 3,535.66 and 1,369.63

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Solution

The fourth proportional to 2,358.34, 3,535.66 and 1,369.63 is: 2,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.34 : 3,535.66 = 1,369.63 : x
  2. Step 2: Convert to fraction form
    2,358.34/3,535.66 = 1,369.63/x
  3. Step 3: Cross multiply
    2,358.34x = 3,535.66 × 1,369.63
  4. Step 4: Simplify right side
    2,358.34x = 4,842,546.01
  5. Step 5: Solve for x
    x = 4,842,546.01/2,358.34
  6. Step 6: Final answer
    x = 2,053.37

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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.