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Finding the Fourth Proportional to 2,030.90, 3,046.07 and 797.99

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Solution

The fourth proportional to 2,030.90, 3,046.07 and 797.99 is: 1,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.90 : 3,046.07 = 797.99 : x
  2. Step 2: Convert to fraction form
    2,030.90/3,046.07 = 797.99/x
  3. Step 3: Cross multiply
    2,030.90x = 3,046.07 × 797.99
  4. Step 4: Simplify right side
    2,030.90x = 2,430,720.16
  5. Step 5: Solve for x
    x = 2,430,720.16/2,030.90
  6. Step 6: Final answer
    x = 1,196.87

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1.5x scale

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.