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Finding the Fourth Proportional to 2,090.90, 3,132.09 and 991.93

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Solution

The fourth proportional to 2,090.90, 3,132.09 and 991.93 is: 1,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.90 : 3,132.09 = 991.93 : x
  2. Step 2: Convert to fraction form
    2,090.90/3,132.09 = 991.93/x
  3. Step 3: Cross multiply
    2,090.90x = 3,132.09 × 991.93
  4. Step 4: Simplify right side
    2,090.90x = 3,106,814.03
  5. Step 5: Solve for x
    x = 3,106,814.03/2,090.90
  6. Step 6: Final answer
    x = 1,485.87

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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.