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Finding the Fourth Proportional to 3,014.65, 4,160.46 and 1,835.29

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Solution

The fourth proportional to 3,014.65, 4,160.46 and 1,835.29 is: 2,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.65 : 4,160.46 = 1,835.29 : x
  2. Step 2: Convert to fraction form
    3,014.65/4,160.46 = 1,835.29/x
  3. Step 3: Cross multiply
    3,014.65x = 4,160.46 × 1,835.29
  4. Step 4: Simplify right side
    3,014.65x = 7,635,650.63
  5. Step 5: Solve for x
    x = 7,635,650.63/3,014.65
  6. Step 6: Final answer
    x = 2,532.85

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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.