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Finding the Fourth Proportional to 4,297, 6,446.58 and 1,219

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Solution

The fourth proportional to 4,297, 6,446.58 and 1,219 is: 1,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297 : 6,446.58 = 1,219 : x
  2. Step 2: Convert to fraction form
    4,297/6,446.58 = 1,219/x
  3. Step 3: Cross multiply
    4,297x = 6,446.58 × 1,219
  4. Step 4: Simplify right side
    4,297x = 7,858,381.02
  5. Step 5: Solve for x
    x = 7,858,381.02/4,297
  6. Step 6: Final answer
    x = 1,828.81

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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.