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Finding the Fourth Proportional to 1,648.57, 2,472.27 and 608.35

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Solution

The fourth proportional to 1,648.57, 2,472.27 and 608.35 is: 912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.57 : 2,472.27 = 608.35 : x
  2. Step 2: Convert to fraction form
    1,648.57/2,472.27 = 608.35/x
  3. Step 3: Cross multiply
    1,648.57x = 2,472.27 × 608.35
  4. Step 4: Simplify right side
    1,648.57x = 1,504,005.45
  5. Step 5: Solve for x
    x = 1,504,005.45/1,648.57
  6. Step 6: Final answer
    x = 912.31

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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.