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Finding the Fourth Proportional to 2,032.72, 3,047.60 and 645.60

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Solution

The fourth proportional to 2,032.72, 3,047.60 and 645.60 is: 967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.72 : 3,047.60 = 645.60 : x
  2. Step 2: Convert to fraction form
    2,032.72/3,047.60 = 645.60/x
  3. Step 3: Cross multiply
    2,032.72x = 3,047.60 × 645.60
  4. Step 4: Simplify right side
    2,032.72x = 1,967,530.56
  5. Step 5: Solve for x
    x = 1,967,530.56/2,032.72
  6. Step 6: Final answer
    x = 967.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.