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Finding the Fourth Proportional to 1,516.36, 2,274.54 and 1,003.24

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Solution

The fourth proportional to 1,516.36, 2,274.54 and 1,003.24 is: 1,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.36 : 2,274.54 = 1,003.24 : x
  2. Step 2: Convert to fraction form
    1,516.36/2,274.54 = 1,003.24/x
  3. Step 3: Cross multiply
    1,516.36x = 2,274.54 × 1,003.24
  4. Step 4: Simplify right side
    1,516.36x = 2,281,909.51
  5. Step 5: Solve for x
    x = 2,281,909.51/1,516.36
  6. Step 6: Final answer
    x = 1,504.86

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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.