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Finding the Fourth Proportional to 1,752.44, 2,614.53 and 1,688.63

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Solution

The fourth proportional to 1,752.44, 2,614.53 and 1,688.63 is: 2,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.44 : 2,614.53 = 1,688.63 : x
  2. Step 2: Convert to fraction form
    1,752.44/2,614.53 = 1,688.63/x
  3. Step 3: Cross multiply
    1,752.44x = 2,614.53 × 1,688.63
  4. Step 4: Simplify right side
    1,752.44x = 4,414,980.33
  5. Step 5: Solve for x
    x = 4,414,980.33/1,752.44
  6. Step 6: Final answer
    x = 2,519.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.