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Finding the Fourth Proportional to 2,032.15, 3,048.36 and 645.55

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Solution

The fourth proportional to 2,032.15, 3,048.36 and 645.55 is: 968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.15 : 3,048.36 = 645.55 : x
  2. Step 2: Convert to fraction form
    2,032.15/3,048.36 = 645.55/x
  3. Step 3: Cross multiply
    2,032.15x = 3,048.36 × 645.55
  4. Step 4: Simplify right side
    2,032.15x = 1,967,868.80
  5. Step 5: Solve for x
    x = 1,967,868.80/2,032.15
  6. Step 6: Final answer
    x = 968.37

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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.