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Finding the Fourth Proportional to 4,506, 6,758.97 and 1,219.43

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Solution

The fourth proportional to 4,506, 6,758.97 and 1,219.43 is: 1,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 6,758.97 = 1,219.43 : x
  2. Step 2: Convert to fraction form
    4,506/6,758.97 = 1,219.43/x
  3. Step 3: Cross multiply
    4,506x = 6,758.97 × 1,219.43
  4. Step 4: Simplify right side
    4,506x = 8,242,090.79
  5. Step 5: Solve for x
    x = 8,242,090.79/4,506
  6. Step 6: Final answer
    x = 1,829.14

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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.