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Finding the Fourth Proportional to 2,014.52, 2,776.83 and 1,588.46

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Solution

The fourth proportional to 2,014.52, 2,776.83 and 1,588.46 is: 2,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.52 : 2,776.83 = 1,588.46 : x
  2. Step 2: Convert to fraction form
    2,014.52/2,776.83 = 1,588.46/x
  3. Step 3: Cross multiply
    2,014.52x = 2,776.83 × 1,588.46
  4. Step 4: Simplify right side
    2,014.52x = 4,410,873.95
  5. Step 5: Solve for x
    x = 4,410,873.95/2,014.52
  6. Step 6: Final answer
    x = 2,189.54

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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.