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Finding the Fourth Proportional to 2,064.76, 2,847.53 and 1,610.63

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Solution

The fourth proportional to 2,064.76, 2,847.53 and 1,610.63 is: 2,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.76 : 2,847.53 = 1,610.63 : x
  2. Step 2: Convert to fraction form
    2,064.76/2,847.53 = 1,610.63/x
  3. Step 3: Cross multiply
    2,064.76x = 2,847.53 × 1,610.63
  4. Step 4: Simplify right side
    2,064.76x = 4,586,317.24
  5. Step 5: Solve for x
    x = 4,586,317.24/2,064.76
  6. Step 6: Final answer
    x = 2,221.24

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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.