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Finding the Fourth Proportional to 1,548.19, 2,321.82 and 452.26

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Solution

The fourth proportional to 1,548.19, 2,321.82 and 452.26 is: 678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.19 : 2,321.82 = 452.26 : x
  2. Step 2: Convert to fraction form
    1,548.19/2,321.82 = 452.26/x
  3. Step 3: Cross multiply
    1,548.19x = 2,321.82 × 452.26
  4. Step 4: Simplify right side
    1,548.19x = 1,050,066.31
  5. Step 5: Solve for x
    x = 1,050,066.31/1,548.19
  6. Step 6: Final answer
    x = 678.25

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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.