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Finding the Fourth Proportional to 2,060.49, 3,091.28 and 906.51

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Solution

The fourth proportional to 2,060.49, 3,091.28 and 906.51 is: 1,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.49 : 3,091.28 = 906.51 : x
  2. Step 2: Convert to fraction form
    2,060.49/3,091.28 = 906.51/x
  3. Step 3: Cross multiply
    2,060.49x = 3,091.28 × 906.51
  4. Step 4: Simplify right side
    2,060.49x = 2,802,271.70
  5. Step 5: Solve for x
    x = 2,802,271.70/2,060.49
  6. Step 6: Final answer
    x = 1,360.00

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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.