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Finding the Fourth Proportional to 1,496.04, 2,242.44 and 976.44

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Solution

The fourth proportional to 1,496.04, 2,242.44 and 976.44 is: 1,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.04 : 2,242.44 = 976.44 : x
  2. Step 2: Convert to fraction form
    1,496.04/2,242.44 = 976.44/x
  3. Step 3: Cross multiply
    1,496.04x = 2,242.44 × 976.44
  4. Step 4: Simplify right side
    1,496.04x = 2,189,608.11
  5. Step 5: Solve for x
    x = 2,189,608.11/1,496.04
  6. Step 6: Final answer
    x = 1,463.60

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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.