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Finding the Fourth Proportional to 2,032.37, 3,048.90 and 645.69

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Solution

The fourth proportional to 2,032.37, 3,048.90 and 645.69 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.37 : 3,048.90 = 645.69 : x
  2. Step 2: Convert to fraction form
    2,032.37/3,048.90 = 645.69/x
  3. Step 3: Cross multiply
    2,032.37x = 3,048.90 × 645.69
  4. Step 4: Simplify right side
    2,032.37x = 1,968,644.24
  5. Step 5: Solve for x
    x = 1,968,644.24/2,032.37
  6. Step 6: Final answer
    x = 968.65

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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.