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Finding the Fourth Proportional to 1,533.92, 2,118.31 and 1,311.58

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Solution

The fourth proportional to 1,533.92, 2,118.31 and 1,311.58 is: 1,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.92 : 2,118.31 = 1,311.58 : x
  2. Step 2: Convert to fraction form
    1,533.92/2,118.31 = 1,311.58/x
  3. Step 3: Cross multiply
    1,533.92x = 2,118.31 × 1,311.58
  4. Step 4: Simplify right side
    1,533.92x = 2,778,333.03
  5. Step 5: Solve for x
    x = 2,778,333.03/1,533.92
  6. Step 6: Final answer
    x = 1,811.26

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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.