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Finding the Fourth Proportional to 3,029.54, 4,180.50 and 1,703.07

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Solution

The fourth proportional to 3,029.54, 4,180.50 and 1,703.07 is: 2,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.54 : 4,180.50 = 1,703.07 : x
  2. Step 2: Convert to fraction form
    3,029.54/4,180.50 = 1,703.07/x
  3. Step 3: Cross multiply
    3,029.54x = 4,180.50 × 1,703.07
  4. Step 4: Simplify right side
    3,029.54x = 7,119,684.14
  5. Step 5: Solve for x
    x = 7,119,684.14/3,029.54
  6. Step 6: Final answer
    x = 2,350.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.