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Finding the Fourth Proportional to 2,975.74, 4,106.29 and 1,649.42

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Solution

The fourth proportional to 2,975.74, 4,106.29 and 1,649.42 is: 2,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.74 : 4,106.29 = 1,649.42 : x
  2. Step 2: Convert to fraction form
    2,975.74/4,106.29 = 1,649.42/x
  3. Step 3: Cross multiply
    2,975.74x = 4,106.29 × 1,649.42
  4. Step 4: Simplify right side
    2,975.74x = 6,772,972.20
  5. Step 5: Solve for x
    x = 6,772,972.20/2,975.74
  6. Step 6: Final answer
    x = 2,276.07

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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.