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Finding the Fourth Proportional to 1,648.49, 2,456.09 and 1,570.12

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Solution

The fourth proportional to 1,648.49, 2,456.09 and 1,570.12 is: 2,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.49 : 2,456.09 = 1,570.12 : x
  2. Step 2: Convert to fraction form
    1,648.49/2,456.09 = 1,570.12/x
  3. Step 3: Cross multiply
    1,648.49x = 2,456.09 × 1,570.12
  4. Step 4: Simplify right side
    1,648.49x = 3,856,356.03
  5. Step 5: Solve for x
    x = 3,856,356.03/1,648.49
  6. Step 6: Final answer
    x = 2,339.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.