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Finding the Fourth Proportional to 3,142.40, 4,336.00 and 1,815.86

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Solution

The fourth proportional to 3,142.40, 4,336.00 and 1,815.86 is: 2,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.40 : 4,336.00 = 1,815.86 : x
  2. Step 2: Convert to fraction form
    3,142.40/4,336.00 = 1,815.86/x
  3. Step 3: Cross multiply
    3,142.40x = 4,336.00 × 1,815.86
  4. Step 4: Simplify right side
    3,142.40x = 7,873,575.26
  5. Step 5: Solve for x
    x = 7,873,575.26/3,142.40
  6. Step 6: Final answer
    x = 2,505.60

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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.