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Finding the Fourth Proportional to 1,645.72, 2,466.75 and 1,029.71

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Solution

The fourth proportional to 1,645.72, 2,466.75 and 1,029.71 is: 1,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.72 : 2,466.75 = 1,029.71 : x
  2. Step 2: Convert to fraction form
    1,645.72/2,466.75 = 1,029.71/x
  3. Step 3: Cross multiply
    1,645.72x = 2,466.75 × 1,029.71
  4. Step 4: Simplify right side
    1,645.72x = 2,540,047.17
  5. Step 5: Solve for x
    x = 2,540,047.17/1,645.72
  6. Step 6: Final answer
    x = 1,543.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.