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Finding the Fourth Proportional to 1,653.02, 2,279.07 and 1,181.48

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Solution

The fourth proportional to 1,653.02, 2,279.07 and 1,181.48 is: 1,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.02 : 2,279.07 = 1,181.48 : x
  2. Step 2: Convert to fraction form
    1,653.02/2,279.07 = 1,181.48/x
  3. Step 3: Cross multiply
    1,653.02x = 2,279.07 × 1,181.48
  4. Step 4: Simplify right side
    1,653.02x = 2,692,675.62
  5. Step 5: Solve for x
    x = 2,692,675.62/1,653.02
  6. Step 6: Final answer
    x = 1,628.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.