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Finding the Fourth Proportional to 4,145.49, 6,219.09 and 1,224

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Solution

The fourth proportional to 4,145.49, 6,219.09 and 1,224 is: 1,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.49 : 6,219.09 = 1,224 : x
  2. Step 2: Convert to fraction form
    4,145.49/6,219.09 = 1,224/x
  3. Step 3: Cross multiply
    4,145.49x = 6,219.09 × 1,224
  4. Step 4: Simplify right side
    4,145.49x = 7,612,166.16
  5. Step 5: Solve for x
    x = 7,612,166.16/4,145.49
  6. Step 6: Final answer
    x = 1,836.25

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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.