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Finding the Fourth Proportional to 3,134.33, 4,703.23 and 1,748.45

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Solution

The fourth proportional to 3,134.33, 4,703.23 and 1,748.45 is: 2,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.33 : 4,703.23 = 1,748.45 : x
  2. Step 2: Convert to fraction form
    3,134.33/4,703.23 = 1,748.45/x
  3. Step 3: Cross multiply
    3,134.33x = 4,703.23 × 1,748.45
  4. Step 4: Simplify right side
    3,134.33x = 8,223,362.49
  5. Step 5: Solve for x
    x = 8,223,362.49/3,134.33
  6. Step 6: Final answer
    x = 2,623.64

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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.