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Finding the Fourth Proportional to 2,090.06, 3,135.29 and 703.41

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Solution

The fourth proportional to 2,090.06, 3,135.29 and 703.41 is: 1,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.06 : 3,135.29 = 703.41 : x
  2. Step 2: Convert to fraction form
    2,090.06/3,135.29 = 703.41/x
  3. Step 3: Cross multiply
    2,090.06x = 3,135.29 × 703.41
  4. Step 4: Simplify right side
    2,090.06x = 2,205,394.34
  5. Step 5: Solve for x
    x = 2,205,394.34/2,090.06
  6. Step 6: Final answer
    x = 1,055.18

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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.