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Finding the Fourth Proportional to 1,516.51, 2,274.56 and 420.78

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Solution

The fourth proportional to 1,516.51, 2,274.56 and 420.78 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.51 : 2,274.56 = 420.78 : x
  2. Step 2: Convert to fraction form
    1,516.51/2,274.56 = 420.78/x
  3. Step 3: Cross multiply
    1,516.51x = 2,274.56 × 420.78
  4. Step 4: Simplify right side
    1,516.51x = 957,089.36
  5. Step 5: Solve for x
    x = 957,089.36/1,516.51
  6. Step 6: Final answer
    x = 631.11

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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.