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Finding the Fourth Proportional to 2,365.30, 3,542.54 and 1,133.57

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Solution

The fourth proportional to 2,365.30, 3,542.54 and 1,133.57 is: 1,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.30 : 3,542.54 = 1,133.57 : x
  2. Step 2: Convert to fraction form
    2,365.30/3,542.54 = 1,133.57/x
  3. Step 3: Cross multiply
    2,365.30x = 3,542.54 × 1,133.57
  4. Step 4: Simplify right side
    2,365.30x = 4,015,710.29
  5. Step 5: Solve for x
    x = 4,015,710.29/2,365.30
  6. Step 6: Final answer
    x = 1,697.76

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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.