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Finding the Fourth Proportional to 2,090.86, 3,137.02 and 937.06

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Solution

The fourth proportional to 2,090.86, 3,137.02 and 937.06 is: 1,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.86 : 3,137.02 = 937.06 : x
  2. Step 2: Convert to fraction form
    2,090.86/3,137.02 = 937.06/x
  3. Step 3: Cross multiply
    2,090.86x = 3,137.02 × 937.06
  4. Step 4: Simplify right side
    2,090.86x = 2,939,575.96
  5. Step 5: Solve for x
    x = 2,939,575.96/2,090.86
  6. Step 6: Final answer
    x = 1,405.92

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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.