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Finding the Fourth Proportional to 2,026.59, 2,796.84 and 1,466.88

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Solution

The fourth proportional to 2,026.59, 2,796.84 and 1,466.88 is: 2,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.59 : 2,796.84 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    2,026.59/2,796.84 = 1,466.88/x
  3. Step 3: Cross multiply
    2,026.59x = 2,796.84 × 1,466.88
  4. Step 4: Simplify right side
    2,026.59x = 4,102,628.66
  5. Step 5: Solve for x
    x = 4,102,628.66/2,026.59
  6. Step 6: Final answer
    x = 2,024.40

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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.