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Finding the Fourth Proportional to 4,581.78, 6,872.64 and 1,119

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Solution

The fourth proportional to 4,581.78, 6,872.64 and 1,119 is: 1,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.78 : 6,872.64 = 1,119 : x
  2. Step 2: Convert to fraction form
    4,581.78/6,872.64 = 1,119/x
  3. Step 3: Cross multiply
    4,581.78x = 6,872.64 × 1,119
  4. Step 4: Simplify right side
    4,581.78x = 7,690,484.16
  5. Step 5: Solve for x
    x = 7,690,484.16/4,581.78
  6. Step 6: Final answer
    x = 1,678.49

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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.