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Finding the Fourth Proportional to 2,266.32, 3,412 and 1,775.34

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Solution

The fourth proportional to 2,266.32, 3,412 and 1,775.34 is: 2,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.32 : 3,412 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    2,266.32/3,412 = 1,775.34/x
  3. Step 3: Cross multiply
    2,266.32x = 3,412 × 1,775.34
  4. Step 4: Simplify right side
    2,266.32x = 6,057,460.08
  5. Step 5: Solve for x
    x = 6,057,460.08/2,266.32
  6. Step 6: Final answer
    x = 2,672.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.