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Finding the Fourth Proportional to 2,656.28, 3,666.42 and 2,128.84

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Solution

The fourth proportional to 2,656.28, 3,666.42 and 2,128.84 is: 2,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.28 : 3,666.42 = 2,128.84 : x
  2. Step 2: Convert to fraction form
    2,656.28/3,666.42 = 2,128.84/x
  3. Step 3: Cross multiply
    2,656.28x = 3,666.42 × 2,128.84
  4. Step 4: Simplify right side
    2,656.28x = 7,805,221.55
  5. Step 5: Solve for x
    x = 7,805,221.55/2,656.28
  6. Step 6: Final answer
    x = 2,938.40

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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.