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Finding the Fourth Proportional to 1,466.22, 2,023.34 and 876.41

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Solution

The fourth proportional to 1,466.22, 2,023.34 and 876.41 is: 1,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.22 : 2,023.34 = 876.41 : x
  2. Step 2: Convert to fraction form
    1,466.22/2,023.34 = 876.41/x
  3. Step 3: Cross multiply
    1,466.22x = 2,023.34 × 876.41
  4. Step 4: Simplify right side
    1,466.22x = 1,773,260.91
  5. Step 5: Solve for x
    x = 1,773,260.91/1,466.22
  6. Step 6: Final answer
    x = 1,209.41

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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.