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Finding the Fourth Proportional to 1,667.10, 2,500.74 and 556.50

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Solution

The fourth proportional to 1,667.10, 2,500.74 and 556.50 is: 834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.10 : 2,500.74 = 556.50 : x
  2. Step 2: Convert to fraction form
    1,667.10/2,500.74 = 556.50/x
  3. Step 3: Cross multiply
    1,667.10x = 2,500.74 × 556.50
  4. Step 4: Simplify right side
    1,667.10x = 1,391,661.81
  5. Step 5: Solve for x
    x = 1,391,661.81/1,667.10
  6. Step 6: Final answer
    x = 834.78

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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.