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Finding the Fourth Proportional to 2,017.60, 3,027 and 631.08

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Solution

The fourth proportional to 2,017.60, 3,027 and 631.08 is: 946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.60 : 3,027 = 631.08 : x
  2. Step 2: Convert to fraction form
    2,017.60/3,027 = 631.08/x
  3. Step 3: Cross multiply
    2,017.60x = 3,027 × 631.08
  4. Step 4: Simplify right side
    2,017.60x = 1,910,279.16
  5. Step 5: Solve for x
    x = 1,910,279.16/2,017.60
  6. Step 6: Final answer
    x = 946.81

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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.