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Finding the Fourth Proportional to 2,656.82, 3,666.53 and 2,213.98

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Solution

The fourth proportional to 2,656.82, 3,666.53 and 2,213.98 is: 3,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.82 : 3,666.53 = 2,213.98 : x
  2. Step 2: Convert to fraction form
    2,656.82/3,666.53 = 2,213.98/x
  3. Step 3: Cross multiply
    2,656.82x = 3,666.53 × 2,213.98
  4. Step 4: Simplify right side
    2,656.82x = 8,117,624.09
  5. Step 5: Solve for x
    x = 8,117,624.09/2,656.82
  6. Step 6: Final answer
    x = 3,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.