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Finding the Fourth Proportional to 2,445.98, 3,669.12 and 984.96

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Solution

The fourth proportional to 2,445.98, 3,669.12 and 984.96 is: 1,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.98 : 3,669.12 = 984.96 : x
  2. Step 2: Convert to fraction form
    2,445.98/3,669.12 = 984.96/x
  3. Step 3: Cross multiply
    2,445.98x = 3,669.12 × 984.96
  4. Step 4: Simplify right side
    2,445.98x = 3,613,936.44
  5. Step 5: Solve for x
    x = 3,613,936.44/2,445.98
  6. Step 6: Final answer
    x = 1,477.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.