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Finding the Fourth Proportional to 1,667.27, 2,501.01 and 434.72

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Solution

The fourth proportional to 1,667.27, 2,501.01 and 434.72 is: 652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.27 : 2,501.01 = 434.72 : x
  2. Step 2: Convert to fraction form
    1,667.27/2,501.01 = 434.72/x
  3. Step 3: Cross multiply
    1,667.27x = 2,501.01 × 434.72
  4. Step 4: Simplify right side
    1,667.27x = 1,087,226.56
  5. Step 5: Solve for x
    x = 1,087,226.56/1,667.27
  6. Step 6: Final answer
    x = 652.10

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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.