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Finding the Fourth Proportional to 2,170.34, 2,994.85 and 1,213.07

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Solution

The fourth proportional to 2,170.34, 2,994.85 and 1,213.07 is: 1,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.34 : 2,994.85 = 1,213.07 : x
  2. Step 2: Convert to fraction form
    2,170.34/2,994.85 = 1,213.07/x
  3. Step 3: Cross multiply
    2,170.34x = 2,994.85 × 1,213.07
  4. Step 4: Simplify right side
    2,170.34x = 3,632,962.69
  5. Step 5: Solve for x
    x = 3,632,962.69/2,170.34
  6. Step 6: Final answer
    x = 1,673.92

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