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Finding the Fourth Proportional to 2,359.70, 3,256.45 and 1,365.29

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Solution

The fourth proportional to 2,359.70, 3,256.45 and 1,365.29 is: 1,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.70 : 3,256.45 = 1,365.29 : x
  2. Step 2: Convert to fraction form
    2,359.70/3,256.45 = 1,365.29/x
  3. Step 3: Cross multiply
    2,359.70x = 3,256.45 × 1,365.29
  4. Step 4: Simplify right side
    2,359.70x = 4,445,978.93
  5. Step 5: Solve for x
    x = 4,445,978.93/2,359.70
  6. Step 6: Final answer
    x = 1,884.13

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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.