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Finding the Fourth Proportional to 1,645.11, 2,466.45 and 767.88

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Solution

The fourth proportional to 1,645.11, 2,466.45 and 767.88 is: 1,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.11 : 2,466.45 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,645.11/2,466.45 = 767.88/x
  3. Step 3: Cross multiply
    1,645.11x = 2,466.45 × 767.88
  4. Step 4: Simplify right side
    1,645.11x = 1,893,937.63
  5. Step 5: Solve for x
    x = 1,893,937.63/1,645.11
  6. Step 6: Final answer
    x = 1,151.25

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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.