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Finding the Fourth Proportional to 1,238.40, 1,858.12 and 892.72

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Solution

The fourth proportional to 1,238.40, 1,858.12 and 892.72 is: 1,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.40 : 1,858.12 = 892.72 : x
  2. Step 2: Convert to fraction form
    1,238.40/1,858.12 = 892.72/x
  3. Step 3: Cross multiply
    1,238.40x = 1,858.12 × 892.72
  4. Step 4: Simplify right side
    1,238.40x = 1,658,780.89
  5. Step 5: Solve for x
    x = 1,658,780.89/1,238.40
  6. Step 6: Final answer
    x = 1,339.45

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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.