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Finding the Fourth Proportional to 1,891.48, 2,612.24 and 1,685.34

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Solution

The fourth proportional to 1,891.48, 2,612.24 and 1,685.34 is: 2,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.48 : 2,612.24 = 1,685.34 : x
  2. Step 2: Convert to fraction form
    1,891.48/2,612.24 = 1,685.34/x
  3. Step 3: Cross multiply
    1,891.48x = 2,612.24 × 1,685.34
  4. Step 4: Simplify right side
    1,891.48x = 4,402,491.07
  5. Step 5: Solve for x
    x = 4,402,491.07/1,891.48
  6. Step 6: Final answer
    x = 2,327.54

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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.