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Finding the Fourth Proportional to 2,090.83, 3,136.76 and 1,048.25

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Solution

The fourth proportional to 2,090.83, 3,136.76 and 1,048.25 is: 1,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.83 : 3,136.76 = 1,048.25 : x
  2. Step 2: Convert to fraction form
    2,090.83/3,136.76 = 1,048.25/x
  3. Step 3: Cross multiply
    2,090.83x = 3,136.76 × 1,048.25
  4. Step 4: Simplify right side
    2,090.83x = 3,288,108.67
  5. Step 5: Solve for x
    x = 3,288,108.67/2,090.83
  6. Step 6: Final answer
    x = 1,572.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.