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Finding the Fourth Proportional to 2,749.84, 3,794.74 and 1,570.90

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Solution

The fourth proportional to 2,749.84, 3,794.74 and 1,570.90 is: 2,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.84 : 3,794.74 = 1,570.90 : x
  2. Step 2: Convert to fraction form
    2,749.84/3,794.74 = 1,570.90/x
  3. Step 3: Cross multiply
    2,749.84x = 3,794.74 × 1,570.90
  4. Step 4: Simplify right side
    2,749.84x = 5,961,157.07
  5. Step 5: Solve for x
    x = 5,961,157.07/2,749.84
  6. Step 6: Final answer
    x = 2,167.82

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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.