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Finding the Fourth Proportional to 2,616.14, 3,925.56 and 1,445.93

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Solution

The fourth proportional to 2,616.14, 3,925.56 and 1,445.93 is: 2,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.14 : 3,925.56 = 1,445.93 : x
  2. Step 2: Convert to fraction form
    2,616.14/3,925.56 = 1,445.93/x
  3. Step 3: Cross multiply
    2,616.14x = 3,925.56 × 1,445.93
  4. Step 4: Simplify right side
    2,616.14x = 5,676,066.44
  5. Step 5: Solve for x
    x = 5,676,066.44/2,616.14
  6. Step 6: Final answer
    x = 2,169.63

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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.