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Finding the Fourth Proportional to 1,497.27, 2,243.85 and 948.48

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Solution

The fourth proportional to 1,497.27, 2,243.85 and 948.48 is: 1,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.27 : 2,243.85 = 948.48 : x
  2. Step 2: Convert to fraction form
    1,497.27/2,243.85 = 948.48/x
  3. Step 3: Cross multiply
    1,497.27x = 2,243.85 × 948.48
  4. Step 4: Simplify right side
    1,497.27x = 2,128,240.21
  5. Step 5: Solve for x
    x = 2,128,240.21/1,497.27
  6. Step 6: Final answer
    x = 1,421.42

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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.