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Finding the Fourth Proportional to 2,548.46, 3,516.08 and 1,429.24

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Solution

The fourth proportional to 2,548.46, 3,516.08 and 1,429.24 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.46 : 3,516.08 = 1,429.24 : x
  2. Step 2: Convert to fraction form
    2,548.46/3,516.08 = 1,429.24/x
  3. Step 3: Cross multiply
    2,548.46x = 3,516.08 × 1,429.24
  4. Step 4: Simplify right side
    2,548.46x = 5,025,322.18
  5. Step 5: Solve for x
    x = 5,025,322.18/2,548.46
  6. Step 6: Final answer
    x = 1,971.91

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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.