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Finding the Fourth Proportional to 1,304.26, 1,950.54 and 1,158.90

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Solution

The fourth proportional to 1,304.26, 1,950.54 and 1,158.90 is: 1,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.26 : 1,950.54 = 1,158.90 : x
  2. Step 2: Convert to fraction form
    1,304.26/1,950.54 = 1,158.90/x
  3. Step 3: Cross multiply
    1,304.26x = 1,950.54 × 1,158.90
  4. Step 4: Simplify right side
    1,304.26x = 2,260,480.81
  5. Step 5: Solve for x
    x = 2,260,480.81/1,304.26
  6. Step 6: Final answer
    x = 1,733.15

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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.