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Finding the Fourth Proportional to 1,619.73, 2,429.91 and 579.87

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Solution

The fourth proportional to 1,619.73, 2,429.91 and 579.87 is: 869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.73 : 2,429.91 = 579.87 : x
  2. Step 2: Convert to fraction form
    1,619.73/2,429.91 = 579.87/x
  3. Step 3: Cross multiply
    1,619.73x = 2,429.91 × 579.87
  4. Step 4: Simplify right side
    1,619.73x = 1,409,031.91
  5. Step 5: Solve for x
    x = 1,409,031.91/1,619.73
  6. Step 6: Final answer
    x = 869.92

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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.