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Finding the Fourth Proportional to 1,788.44, 2,465.08 and 1,414.76

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Solution

The fourth proportional to 1,788.44, 2,465.08 and 1,414.76 is: 1,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.44 : 2,465.08 = 1,414.76 : x
  2. Step 2: Convert to fraction form
    1,788.44/2,465.08 = 1,414.76/x
  3. Step 3: Cross multiply
    1,788.44x = 2,465.08 × 1,414.76
  4. Step 4: Simplify right side
    1,788.44x = 3,487,496.58
  5. Step 5: Solve for x
    x = 3,487,496.58/1,788.44
  6. Step 6: Final answer
    x = 1,950.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.