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Finding the Fourth Proportional to 2,359.97, 3,256.86 and 1,365.05

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Solution

The fourth proportional to 2,359.97, 3,256.86 and 1,365.05 is: 1,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.97 : 3,256.86 = 1,365.05 : x
  2. Step 2: Convert to fraction form
    2,359.97/3,256.86 = 1,365.05/x
  3. Step 3: Cross multiply
    2,359.97x = 3,256.86 × 1,365.05
  4. Step 4: Simplify right side
    2,359.97x = 4,445,790.96
  5. Step 5: Solve for x
    x = 4,445,790.96/2,359.97
  6. Step 6: Final answer
    x = 1,883.84

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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.