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Finding the Fourth Proportional to 2,693.74, 4,031.16 and 1,653.43

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Solution

The fourth proportional to 2,693.74, 4,031.16 and 1,653.43 is: 2,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.74 : 4,031.16 = 1,653.43 : x
  2. Step 2: Convert to fraction form
    2,693.74/4,031.16 = 1,653.43/x
  3. Step 3: Cross multiply
    2,693.74x = 4,031.16 × 1,653.43
  4. Step 4: Simplify right side
    2,693.74x = 6,665,240.88
  5. Step 5: Solve for x
    x = 6,665,240.88/2,693.74
  6. Step 6: Final answer
    x = 2,474.34

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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.