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Finding the Fourth Proportional to 1,449.34, 2,176.22 and 904.95

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Solution

The fourth proportional to 1,449.34, 2,176.22 and 904.95 is: 1,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.34 : 2,176.22 = 904.95 : x
  2. Step 2: Convert to fraction form
    1,449.34/2,176.22 = 904.95/x
  3. Step 3: Cross multiply
    1,449.34x = 2,176.22 × 904.95
  4. Step 4: Simplify right side
    1,449.34x = 1,969,361.34
  5. Step 5: Solve for x
    x = 1,969,361.34/1,449.34
  6. Step 6: Final answer
    x = 1,358.80

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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.