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Finding the Fourth Proportional to 1,667.71, 2,501.84 and 513.46

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Solution

The fourth proportional to 1,667.71, 2,501.84 and 513.46 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.71 : 2,501.84 = 513.46 : x
  2. Step 2: Convert to fraction form
    1,667.71/2,501.84 = 513.46/x
  3. Step 3: Cross multiply
    1,667.71x = 2,501.84 × 513.46
  4. Step 4: Simplify right side
    1,667.71x = 1,284,594.77
  5. Step 5: Solve for x
    x = 1,284,594.77/1,667.71
  6. Step 6: Final answer
    x = 770.27

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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.