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Finding the Fourth Proportional to 1,581.84, 2,372.58 and 427.68

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Solution

The fourth proportional to 1,581.84, 2,372.58 and 427.68 is: 641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.84 : 2,372.58 = 427.68 : x
  2. Step 2: Convert to fraction form
    1,581.84/2,372.58 = 427.68/x
  3. Step 3: Cross multiply
    1,581.84x = 2,372.58 × 427.68
  4. Step 4: Simplify right side
    1,581.84x = 1,014,705.01
  5. Step 5: Solve for x
    x = 1,014,705.01/1,581.84
  6. Step 6: Final answer
    x = 641.47

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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.