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Finding the Fourth Proportional to 2,266.45, 3,129.22 and 1,417

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Solution

The fourth proportional to 2,266.45, 3,129.22 and 1,417 is: 1,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.45 : 3,129.22 = 1,417 : x
  2. Step 2: Convert to fraction form
    2,266.45/3,129.22 = 1,417/x
  3. Step 3: Cross multiply
    2,266.45x = 3,129.22 × 1,417
  4. Step 4: Simplify right side
    2,266.45x = 4,434,104.74
  5. Step 5: Solve for x
    x = 4,434,104.74/2,266.45
  6. Step 6: Final answer
    x = 1,956.41

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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.