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Finding the Fourth Proportional to 2,090.00, 3,130.56 and 1,569.22

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Solution

The fourth proportional to 2,090.00, 3,130.56 and 1,569.22 is: 2,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.00 : 3,130.56 = 1,569.22 : x
  2. Step 2: Convert to fraction form
    2,090.00/3,130.56 = 1,569.22/x
  3. Step 3: Cross multiply
    2,090.00x = 3,130.56 × 1,569.22
  4. Step 4: Simplify right side
    2,090.00x = 4,912,529.54
  5. Step 5: Solve for x
    x = 4,912,529.54/2,090.00
  6. Step 6: Final answer
    x = 2,350.49

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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.