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Finding the Fourth Proportional to 1,833.96, 2,530.58 and 1,171.40

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Solution

The fourth proportional to 1,833.96, 2,530.58 and 1,171.40 is: 1,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.96 : 2,530.58 = 1,171.40 : x
  2. Step 2: Convert to fraction form
    1,833.96/2,530.58 = 1,171.40/x
  3. Step 3: Cross multiply
    1,833.96x = 2,530.58 × 1,171.40
  4. Step 4: Simplify right side
    1,833.96x = 2,964,321.41
  5. Step 5: Solve for x
    x = 2,964,321.41/1,833.96
  6. Step 6: Final answer
    x = 1,616.35

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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.