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Finding the Fourth Proportional to 2,090.52, 3,135.90 and 703.74

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Solution

The fourth proportional to 2,090.52, 3,135.90 and 703.74 is: 1,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.52 : 3,135.90 = 703.74 : x
  2. Step 2: Convert to fraction form
    2,090.52/3,135.90 = 703.74/x
  3. Step 3: Cross multiply
    2,090.52x = 3,135.90 × 703.74
  4. Step 4: Simplify right side
    2,090.52x = 2,206,858.27
  5. Step 5: Solve for x
    x = 2,206,858.27/2,090.52
  6. Step 6: Final answer
    x = 1,055.65

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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.