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Finding the Fourth Proportional to 2,975.34, 4,106.34 and 1,649.10

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Solution

The fourth proportional to 2,975.34, 4,106.34 and 1,649.10 is: 2,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.34 : 4,106.34 = 1,649.10 : x
  2. Step 2: Convert to fraction form
    2,975.34/4,106.34 = 1,649.10/x
  3. Step 3: Cross multiply
    2,975.34x = 4,106.34 × 1,649.10
  4. Step 4: Simplify right side
    2,975.34x = 6,771,765.29
  5. Step 5: Solve for x
    x = 6,771,765.29/2,975.34
  6. Step 6: Final answer
    x = 2,275.96

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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.