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Finding the Fourth Proportional to 2,032.34, 3,048.44 and 861.59

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Solution

The fourth proportional to 2,032.34, 3,048.44 and 861.59 is: 1,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.34 : 3,048.44 = 861.59 : x
  2. Step 2: Convert to fraction form
    2,032.34/3,048.44 = 861.59/x
  3. Step 3: Cross multiply
    2,032.34x = 3,048.44 × 861.59
  4. Step 4: Simplify right side
    2,032.34x = 2,626,485.87
  5. Step 5: Solve for x
    x = 2,626,485.87/2,032.34
  6. Step 6: Final answer
    x = 1,292.35

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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.