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Finding the Fourth Proportional to 2,360.81, 3,542.32 and 1,128.59

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Solution

The fourth proportional to 2,360.81, 3,542.32 and 1,128.59 is: 1,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.81 : 3,542.32 = 1,128.59 : x
  2. Step 2: Convert to fraction form
    2,360.81/3,542.32 = 1,128.59/x
  3. Step 3: Cross multiply
    2,360.81x = 3,542.32 × 1,128.59
  4. Step 4: Simplify right side
    2,360.81x = 3,997,826.93
  5. Step 5: Solve for x
    x = 3,997,826.93/2,360.81
  6. Step 6: Final answer
    x = 1,693.42

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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.