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Finding the Fourth Proportional to 1,548.20, 2,322.62 and 714.86

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Solution

The fourth proportional to 1,548.20, 2,322.62 and 714.86 is: 1,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.20 : 2,322.62 = 714.86 : x
  2. Step 2: Convert to fraction form
    1,548.20/2,322.62 = 714.86/x
  3. Step 3: Cross multiply
    1,548.20x = 2,322.62 × 714.86
  4. Step 4: Simplify right side
    1,548.20x = 1,660,348.13
  5. Step 5: Solve for x
    x = 1,660,348.13/1,548.20
  6. Step 6: Final answer
    x = 1,072.44

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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.