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Finding the Fourth Proportional to 2,316.96, 3,472.98 and 1,160.28

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Solution

The fourth proportional to 2,316.96, 3,472.98 and 1,160.28 is: 1,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.96 : 3,472.98 = 1,160.28 : x
  2. Step 2: Convert to fraction form
    2,316.96/3,472.98 = 1,160.28/x
  3. Step 3: Cross multiply
    2,316.96x = 3,472.98 × 1,160.28
  4. Step 4: Simplify right side
    2,316.96x = 4,029,629.23
  5. Step 5: Solve for x
    x = 4,029,629.23/2,316.96
  6. Step 6: Final answer
    x = 1,739.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.