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Finding the Fourth Proportional to 1,238.91, 1,849.87 and 1,056.21

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Solution

The fourth proportional to 1,238.91, 1,849.87 and 1,056.21 is: 1,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.91 : 1,849.87 = 1,056.21 : x
  2. Step 2: Convert to fraction form
    1,238.91/1,849.87 = 1,056.21/x
  3. Step 3: Cross multiply
    1,238.91x = 1,849.87 × 1,056.21
  4. Step 4: Simplify right side
    1,238.91x = 1,953,848.55
  5. Step 5: Solve for x
    x = 1,953,848.55/1,238.91
  6. Step 6: Final answer
    x = 1,577.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.