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Finding the Fourth Proportional to 2,032.23, 3,048.93 and 645.75

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Solution

The fourth proportional to 2,032.23, 3,048.93 and 645.75 is: 968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.23 : 3,048.93 = 645.75 : x
  2. Step 2: Convert to fraction form
    2,032.23/3,048.93 = 645.75/x
  3. Step 3: Cross multiply
    2,032.23x = 3,048.93 × 645.75
  4. Step 4: Simplify right side
    2,032.23x = 1,968,846.55
  5. Step 5: Solve for x
    x = 1,968,846.55/2,032.23
  6. Step 6: Final answer
    x = 968.81

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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.