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Finding the Fourth Proportional to 1,731.76, 2,388.36 and 1,558.96

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Solution

The fourth proportional to 1,731.76, 2,388.36 and 1,558.96 is: 2,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.76 : 2,388.36 = 1,558.96 : x
  2. Step 2: Convert to fraction form
    1,731.76/2,388.36 = 1,558.96/x
  3. Step 3: Cross multiply
    1,731.76x = 2,388.36 × 1,558.96
  4. Step 4: Simplify right side
    1,731.76x = 3,723,357.71
  5. Step 5: Solve for x
    x = 3,723,357.71/1,731.76
  6. Step 6: Final answer
    x = 2,150.04

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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.