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Finding the Fourth Proportional to 2,154.08, 3,232.39 and 904.57

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Solution

The fourth proportional to 2,154.08, 3,232.39 and 904.57 is: 1,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.08 : 3,232.39 = 904.57 : x
  2. Step 2: Convert to fraction form
    2,154.08/3,232.39 = 904.57/x
  3. Step 3: Cross multiply
    2,154.08x = 3,232.39 × 904.57
  4. Step 4: Simplify right side
    2,154.08x = 2,923,914.38
  5. Step 5: Solve for x
    x = 2,923,914.38/2,154.08
  6. Step 6: Final answer
    x = 1,357.39

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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.