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Finding the Fourth Proportional to 2,972.48, 4,450.40 and 1,508.48

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Solution

The fourth proportional to 2,972.48, 4,450.40 and 1,508.48 is: 2,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.48 : 4,450.40 = 1,508.48 : x
  2. Step 2: Convert to fraction form
    2,972.48/4,450.40 = 1,508.48/x
  3. Step 3: Cross multiply
    2,972.48x = 4,450.40 × 1,508.48
  4. Step 4: Simplify right side
    2,972.48x = 6,713,339.39
  5. Step 5: Solve for x
    x = 6,713,339.39/2,972.48
  6. Step 6: Final answer
    x = 2,258.50

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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.