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Finding the Fourth Proportional to 1,548.34, 2,321.96 and 817.52

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Solution

The fourth proportional to 1,548.34, 2,321.96 and 817.52 is: 1,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.34 : 2,321.96 = 817.52 : x
  2. Step 2: Convert to fraction form
    1,548.34/2,321.96 = 817.52/x
  3. Step 3: Cross multiply
    1,548.34x = 2,321.96 × 817.52
  4. Step 4: Simplify right side
    1,548.34x = 1,898,233.04
  5. Step 5: Solve for x
    x = 1,898,233.04/1,548.34
  6. Step 6: Final answer
    x = 1,225.98

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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.