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Finding the Fourth Proportional to 2,906.68, 4,357.45 and 1,057.47

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Solution

The fourth proportional to 2,906.68, 4,357.45 and 1,057.47 is: 1,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.68 : 4,357.45 = 1,057.47 : x
  2. Step 2: Convert to fraction form
    2,906.68/4,357.45 = 1,057.47/x
  3. Step 3: Cross multiply
    2,906.68x = 4,357.45 × 1,057.47
  4. Step 4: Simplify right side
    2,906.68x = 4,607,885.12
  5. Step 5: Solve for x
    x = 4,607,885.12/2,906.68
  6. Step 6: Final answer
    x = 1,585.27

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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.