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Finding the Fourth Proportional to 1,484.85, 2,048.45 and 952.78

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Solution

The fourth proportional to 1,484.85, 2,048.45 and 952.78 is: 1,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.85 : 2,048.45 = 952.78 : x
  2. Step 2: Convert to fraction form
    1,484.85/2,048.45 = 952.78/x
  3. Step 3: Cross multiply
    1,484.85x = 2,048.45 × 952.78
  4. Step 4: Simplify right side
    1,484.85x = 1,951,722.19
  5. Step 5: Solve for x
    x = 1,951,722.19/1,484.85
  6. Step 6: Final answer
    x = 1,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.