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Finding the Fourth Proportional to 2,606.64, 3,595.68 and 1,556.88

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Solution

The fourth proportional to 2,606.64, 3,595.68 and 1,556.88 is: 2,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.64 : 3,595.68 = 1,556.88 : x
  2. Step 2: Convert to fraction form
    2,606.64/3,595.68 = 1,556.88/x
  3. Step 3: Cross multiply
    2,606.64x = 3,595.68 × 1,556.88
  4. Step 4: Simplify right side
    2,606.64x = 5,598,042.28
  5. Step 5: Solve for x
    x = 5,598,042.28/2,606.64
  6. Step 6: Final answer
    x = 2,147.61

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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.