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Finding the Fourth Proportional to 1,552.49, 2,327.10 and 730.09

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Solution

The fourth proportional to 1,552.49, 2,327.10 and 730.09 is: 1,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.49 : 2,327.10 = 730.09 : x
  2. Step 2: Convert to fraction form
    1,552.49/2,327.10 = 730.09/x
  3. Step 3: Cross multiply
    1,552.49x = 2,327.10 × 730.09
  4. Step 4: Simplify right side
    1,552.49x = 1,698,992.23
  5. Step 5: Solve for x
    x = 1,698,992.23/1,552.49
  6. Step 6: Final answer
    x = 1,094.36

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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.