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Finding the Fourth Proportional to 1,516.64, 2,272.04 and 1,270.24

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Solution

The fourth proportional to 1,516.64, 2,272.04 and 1,270.24 is: 1,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.64 : 2,272.04 = 1,270.24 : x
  2. Step 2: Convert to fraction form
    1,516.64/2,272.04 = 1,270.24/x
  3. Step 3: Cross multiply
    1,516.64x = 2,272.04 × 1,270.24
  4. Step 4: Simplify right side
    1,516.64x = 2,886,036.09
  5. Step 5: Solve for x
    x = 2,886,036.09/1,516.64
  6. Step 6: Final answer
    x = 1,902.91

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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.