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Finding the Fourth Proportional to 2,359.95, 3,256.79 and 1,365.54

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Solution

The fourth proportional to 2,359.95, 3,256.79 and 1,365.54 is: 1,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.95 : 3,256.79 = 1,365.54 : x
  2. Step 2: Convert to fraction form
    2,359.95/3,256.79 = 1,365.54/x
  3. Step 3: Cross multiply
    2,359.95x = 3,256.79 × 1,365.54
  4. Step 4: Simplify right side
    2,359.95x = 4,447,277.02
  5. Step 5: Solve for x
    x = 4,447,277.02/2,359.95
  6. Step 6: Final answer
    x = 1,884.48

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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.