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Finding the Fourth Proportional to 1,253.48, 1,741.58 and 1,238

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Solution

The fourth proportional to 1,253.48, 1,741.58 and 1,238 is: 1,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.48 : 1,741.58 = 1,238 : x
  2. Step 2: Convert to fraction form
    1,253.48/1,741.58 = 1,238/x
  3. Step 3: Cross multiply
    1,253.48x = 1,741.58 × 1,238
  4. Step 4: Simplify right side
    1,253.48x = 2,156,076.04
  5. Step 5: Solve for x
    x = 2,156,076.04/1,253.48
  6. Step 6: Final answer
    x = 1,720.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.