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Finding the Fourth Proportional to 1,516.61, 2,274.79 and 421

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Solution

The fourth proportional to 1,516.61, 2,274.79 and 421 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.61 : 2,274.79 = 421 : x
  2. Step 2: Convert to fraction form
    1,516.61/2,274.79 = 421/x
  3. Step 3: Cross multiply
    1,516.61x = 2,274.79 × 421
  4. Step 4: Simplify right side
    1,516.61x = 957,686.59
  5. Step 5: Solve for x
    x = 957,686.59/1,516.61
  6. Step 6: Final answer
    x = 631.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.