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Finding the Fourth Proportional to 2,614.63, 3,921.83 and 666.77

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Solution

The fourth proportional to 2,614.63, 3,921.83 and 666.77 is: 1,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.63 : 3,921.83 = 666.77 : x
  2. Step 2: Convert to fraction form
    2,614.63/3,921.83 = 666.77/x
  3. Step 3: Cross multiply
    2,614.63x = 3,921.83 × 666.77
  4. Step 4: Simplify right side
    2,614.63x = 2,614,955.26
  5. Step 5: Solve for x
    x = 2,614,955.26/2,614.63
  6. Step 6: Final answer
    x = 1,000.13

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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.