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Finding the Fourth Proportional to 2,033.93, 3,049.75 and 647.01

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Solution

The fourth proportional to 2,033.93, 3,049.75 and 647.01 is: 970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.93 : 3,049.75 = 647.01 : x
  2. Step 2: Convert to fraction form
    2,033.93/3,049.75 = 647.01/x
  3. Step 3: Cross multiply
    2,033.93x = 3,049.75 × 647.01
  4. Step 4: Simplify right side
    2,033.93x = 1,973,218.75
  5. Step 5: Solve for x
    x = 1,973,218.75/2,033.93
  6. Step 6: Final answer
    x = 970.15

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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.