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Finding the Fourth Proportional to 2,852.21, 4,278.74 and 904.38

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Solution

The fourth proportional to 2,852.21, 4,278.74 and 904.38 is: 1,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.21 : 4,278.74 = 904.38 : x
  2. Step 2: Convert to fraction form
    2,852.21/4,278.74 = 904.38/x
  3. Step 3: Cross multiply
    2,852.21x = 4,278.74 × 904.38
  4. Step 4: Simplify right side
    2,852.21x = 3,869,602.36
  5. Step 5: Solve for x
    x = 3,869,602.36/2,852.21
  6. Step 6: Final answer
    x = 1,356.71

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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.