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Finding the Fourth Proportional to 2,548.55, 3,821.61 and 904.05

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Solution

The fourth proportional to 2,548.55, 3,821.61 and 904.05 is: 1,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.55 : 3,821.61 = 904.05 : x
  2. Step 2: Convert to fraction form
    2,548.55/3,821.61 = 904.05/x
  3. Step 3: Cross multiply
    2,548.55x = 3,821.61 × 904.05
  4. Step 4: Simplify right side
    2,548.55x = 3,454,926.52
  5. Step 5: Solve for x
    x = 3,454,926.52/2,548.55
  6. Step 6: Final answer
    x = 1,355.64

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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.