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Finding the Fourth Proportional to 2,986.70, 4,481.06 and 1,525.46

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Solution

The fourth proportional to 2,986.70, 4,481.06 and 1,525.46 is: 2,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.70 : 4,481.06 = 1,525.46 : x
  2. Step 2: Convert to fraction form
    2,986.70/4,481.06 = 1,525.46/x
  3. Step 3: Cross multiply
    2,986.70x = 4,481.06 × 1,525.46
  4. Step 4: Simplify right side
    2,986.70x = 6,835,647.76
  5. Step 5: Solve for x
    x = 6,835,647.76/2,986.70
  6. Step 6: Final answer
    x = 2,288.70

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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.