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Finding the Fourth Proportional to 2,649.60, 3,654 and 1,654.56

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Solution

The fourth proportional to 2,649.60, 3,654 and 1,654.56 is: 2,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.60 : 3,654 = 1,654.56 : x
  2. Step 2: Convert to fraction form
    2,649.60/3,654 = 1,654.56/x
  3. Step 3: Cross multiply
    2,649.60x = 3,654 × 1,654.56
  4. Step 4: Simplify right side
    2,649.60x = 6,045,762.24
  5. Step 5: Solve for x
    x = 6,045,762.24/2,649.60
  6. Step 6: Final answer
    x = 2,281.76

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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.