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Finding the Fourth Proportional to 2,852.42, 4,274.22 and 1,924.34

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Solution

The fourth proportional to 2,852.42, 4,274.22 and 1,924.34 is: 2,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.42 : 4,274.22 = 1,924.34 : x
  2. Step 2: Convert to fraction form
    2,852.42/4,274.22 = 1,924.34/x
  3. Step 3: Cross multiply
    2,852.42x = 4,274.22 × 1,924.34
  4. Step 4: Simplify right side
    2,852.42x = 8,225,052.51
  5. Step 5: Solve for x
    x = 8,225,052.51/2,852.42
  6. Step 6: Final answer
    x = 2,883.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.