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Finding the Fourth Proportional to 2,646.12, 3,969.17 and 1,557.42

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Solution

The fourth proportional to 2,646.12, 3,969.17 and 1,557.42 is: 2,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.12 : 3,969.17 = 1,557.42 : x
  2. Step 2: Convert to fraction form
    2,646.12/3,969.17 = 1,557.42/x
  3. Step 3: Cross multiply
    2,646.12x = 3,969.17 × 1,557.42
  4. Step 4: Simplify right side
    2,646.12x = 6,181,664.74
  5. Step 5: Solve for x
    x = 6,181,664.74/2,646.12
  6. Step 6: Final answer
    x = 2,336.12

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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.