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Finding the Fourth Proportional to 2,359.90, 3,256.54 and 1,365.33

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Solution

The fourth proportional to 2,359.90, 3,256.54 and 1,365.33 is: 1,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.90 : 3,256.54 = 1,365.33 : x
  2. Step 2: Convert to fraction form
    2,359.90/3,256.54 = 1,365.33/x
  3. Step 3: Cross multiply
    2,359.90x = 3,256.54 × 1,365.33
  4. Step 4: Simplify right side
    2,359.90x = 4,446,251.76
  5. Step 5: Solve for x
    x = 4,446,251.76/2,359.90
  6. Step 6: Final answer
    x = 1,884.08

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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.