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Finding the Fourth Proportional to 1,667.02, 2,500.50 and 641.02

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Solution

The fourth proportional to 1,667.02, 2,500.50 and 641.02 is: 961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.02 : 2,500.50 = 641.02 : x
  2. Step 2: Convert to fraction form
    1,667.02/2,500.50 = 641.02/x
  3. Step 3: Cross multiply
    1,667.02x = 2,500.50 × 641.02
  4. Step 4: Simplify right side
    1,667.02x = 1,602,870.51
  5. Step 5: Solve for x
    x = 1,602,870.51/1,667.02
  6. Step 6: Final answer
    x = 961.52

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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.