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Finding the Fourth Proportional to 2,602.74, 3,592.96 and 1,659.80

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Solution

The fourth proportional to 2,602.74, 3,592.96 and 1,659.80 is: 2,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.74 : 3,592.96 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    2,602.74/3,592.96 = 1,659.80/x
  3. Step 3: Cross multiply
    2,602.74x = 3,592.96 × 1,659.80
  4. Step 4: Simplify right side
    2,602.74x = 5,963,586.71
  5. Step 5: Solve for x
    x = 5,963,586.71/2,602.74
  6. Step 6: Final answer
    x = 2,291.27

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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.