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Finding the Fourth Proportional to 2,924.84, 4,034.40 and 1,745

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Solution

The fourth proportional to 2,924.84, 4,034.40 and 1,745 is: 2,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.84 : 4,034.40 = 1,745 : x
  2. Step 2: Convert to fraction form
    2,924.84/4,034.40 = 1,745/x
  3. Step 3: Cross multiply
    2,924.84x = 4,034.40 × 1,745
  4. Step 4: Simplify right side
    2,924.84x = 7,040,028
  5. Step 5: Solve for x
    x = 7,040,028/2,924.84
  6. Step 6: Final answer
    x = 2,406.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.