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Finding the Fourth Proportional to 1,615.82, 2,230.56 and 1,056.31

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Solution

The fourth proportional to 1,615.82, 2,230.56 and 1,056.31 is: 1,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,230.56 = 1,056.31 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,230.56 = 1,056.31/x
  3. Step 3: Cross multiply
    1,615.82x = 2,230.56 × 1,056.31
  4. Step 4: Simplify right side
    1,615.82x = 2,356,157.26
  5. Step 5: Solve for x
    x = 2,356,157.26/1,615.82
  6. Step 6: Final answer
    x = 1,458.19

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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.