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Finding the Fourth Proportional to 3,053, 4,579.54 and 744.50

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Solution

The fourth proportional to 3,053, 4,579.54 and 744.50 is: 1,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053 : 4,579.54 = 744.50 : x
  2. Step 2: Convert to fraction form
    3,053/4,579.54 = 744.50/x
  3. Step 3: Cross multiply
    3,053x = 4,579.54 × 744.50
  4. Step 4: Simplify right side
    3,053x = 3,409,467.53
  5. Step 5: Solve for x
    x = 3,409,467.53/3,053
  6. Step 6: Final answer
    x = 1,116.76

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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.