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Finding the Fourth Proportional to 4,599.68, 6,900.24 and 1,677.20

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Solution

The fourth proportional to 4,599.68, 6,900.24 and 1,677.20 is: 2,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.68 : 6,900.24 = 1,677.20 : x
  2. Step 2: Convert to fraction form
    4,599.68/6,900.24 = 1,677.20/x
  3. Step 3: Cross multiply
    4,599.68x = 6,900.24 × 1,677.20
  4. Step 4: Simplify right side
    4,599.68x = 11,573,082.53
  5. Step 5: Solve for x
    x = 11,573,082.53/4,599.68
  6. Step 6: Final answer
    x = 2,516.06

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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.