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Finding the Fourth Proportional to 1,630, 2,249.42 and 931.44

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Solution

The fourth proportional to 1,630, 2,249.42 and 931.44 is: 1,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630 : 2,249.42 = 931.44 : x
  2. Step 2: Convert to fraction form
    1,630/2,249.42 = 931.44/x
  3. Step 3: Cross multiply
    1,630x = 2,249.42 × 931.44
  4. Step 4: Simplify right side
    1,630x = 2,095,199.76
  5. Step 5: Solve for x
    x = 2,095,199.76/1,630
  6. Step 6: Final answer
    x = 1,285.40

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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.