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Finding the Fourth Proportional to 2,852.80, 4,278.77 and 904.75

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Solution

The fourth proportional to 2,852.80, 4,278.77 and 904.75 is: 1,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.80 : 4,278.77 = 904.75 : x
  2. Step 2: Convert to fraction form
    2,852.80/4,278.77 = 904.75/x
  3. Step 3: Cross multiply
    2,852.80x = 4,278.77 × 904.75
  4. Step 4: Simplify right side
    2,852.80x = 3,871,217.16
  5. Step 5: Solve for x
    x = 3,871,217.16/2,852.80
  6. Step 6: Final answer
    x = 1,356.99

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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.