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Finding the Fourth Proportional to 2,703.57, 4,052.31 and 1,664.34

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Solution

The fourth proportional to 2,703.57, 4,052.31 and 1,664.34 is: 2,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.57 : 4,052.31 = 1,664.34 : x
  2. Step 2: Convert to fraction form
    2,703.57/4,052.31 = 1,664.34/x
  3. Step 3: Cross multiply
    2,703.57x = 4,052.31 × 1,664.34
  4. Step 4: Simplify right side
    2,703.57x = 6,744,421.63
  5. Step 5: Solve for x
    x = 6,744,421.63/2,703.57
  6. Step 6: Final answer
    x = 2,494.64

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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.