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Finding the Fourth Proportional to 1,781.66, 2,672.56 and 1,578.76

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Solution

The fourth proportional to 1,781.66, 2,672.56 and 1,578.76 is: 2,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.66 : 2,672.56 = 1,578.76 : x
  2. Step 2: Convert to fraction form
    1,781.66/2,672.56 = 1,578.76/x
  3. Step 3: Cross multiply
    1,781.66x = 2,672.56 × 1,578.76
  4. Step 4: Simplify right side
    1,781.66x = 4,219,326.12
  5. Step 5: Solve for x
    x = 4,219,326.12/1,781.66
  6. Step 6: Final answer
    x = 2,368.20

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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.