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Finding the Fourth Proportional to 2,448.23, 3,670.06 and 988.40

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Solution

The fourth proportional to 2,448.23, 3,670.06 and 988.40 is: 1,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.23 : 3,670.06 = 988.40 : x
  2. Step 2: Convert to fraction form
    2,448.23/3,670.06 = 988.40/x
  3. Step 3: Cross multiply
    2,448.23x = 3,670.06 × 988.40
  4. Step 4: Simplify right side
    2,448.23x = 3,627,495.86
  5. Step 5: Solve for x
    x = 3,627,495.86/2,448.23
  6. Step 6: Final answer
    x = 1,481.68

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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.