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Finding the Fourth Proportional to 1,685.85, 2,327.90 and 1,057.43

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Solution

The fourth proportional to 1,685.85, 2,327.90 and 1,057.43 is: 1,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.85 : 2,327.90 = 1,057.43 : x
  2. Step 2: Convert to fraction form
    1,685.85/2,327.90 = 1,057.43/x
  3. Step 3: Cross multiply
    1,685.85x = 2,327.90 × 1,057.43
  4. Step 4: Simplify right side
    1,685.85x = 2,461,579.66
  5. Step 5: Solve for x
    x = 2,461,579.66/1,685.85
  6. Step 6: Final answer
    x = 1,460.15

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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.