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Finding the Fourth Proportional to 2,994.35, 4,132.56 and 1,800

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Solution

The fourth proportional to 2,994.35, 4,132.56 and 1,800 is: 2,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.35 : 4,132.56 = 1,800 : x
  2. Step 2: Convert to fraction form
    2,994.35/4,132.56 = 1,800/x
  3. Step 3: Cross multiply
    2,994.35x = 4,132.56 × 1,800
  4. Step 4: Simplify right side
    2,994.35x = 7,438,608.00
  5. Step 5: Solve for x
    x = 7,438,608.00/2,994.35
  6. Step 6: Final answer
    x = 2,484.22

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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.