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Finding the Fourth Proportional to 2,703.63, 4,052.87 and 1,059.63

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Solution

The fourth proportional to 2,703.63, 4,052.87 and 1,059.63 is: 1,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.63 : 4,052.87 = 1,059.63 : x
  2. Step 2: Convert to fraction form
    2,703.63/4,052.87 = 1,059.63/x
  3. Step 3: Cross multiply
    2,703.63x = 4,052.87 × 1,059.63
  4. Step 4: Simplify right side
    2,703.63x = 4,294,537.34
  5. Step 5: Solve for x
    x = 4,294,537.34/2,703.63
  6. Step 6: Final answer
    x = 1,588.43

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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.