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Finding the Fourth Proportional to 1,516.63, 2,273.51 and 592.78

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Solution

The fourth proportional to 1,516.63, 2,273.51 and 592.78 is: 888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.63 : 2,273.51 = 592.78 : x
  2. Step 2: Convert to fraction form
    1,516.63/2,273.51 = 592.78/x
  3. Step 3: Cross multiply
    1,516.63x = 2,273.51 × 592.78
  4. Step 4: Simplify right side
    1,516.63x = 1,347,688.29
  5. Step 5: Solve for x
    x = 1,347,688.29/1,516.63
  6. Step 6: Final answer
    x = 888.61

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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.