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Finding the Fourth Proportional to 4,602.56, 6,904.44 and 1,682.24

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Solution

The fourth proportional to 4,602.56, 6,904.44 and 1,682.24 is: 2,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,904.44 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,904.44 = 1,682.24/x
  3. Step 3: Cross multiply
    4,602.56x = 6,904.44 × 1,682.24
  4. Step 4: Simplify right side
    4,602.56x = 11,614,925.15
  5. Step 5: Solve for x
    x = 11,614,925.15/4,602.56
  6. Step 6: Final answer
    x = 2,523.58

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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.