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Finding the Fourth Proportional to 2,359.69, 3,256.64 and 1,351.50

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Solution

The fourth proportional to 2,359.69, 3,256.64 and 1,351.50 is: 1,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.69 : 3,256.64 = 1,351.50 : x
  2. Step 2: Convert to fraction form
    2,359.69/3,256.64 = 1,351.50/x
  3. Step 3: Cross multiply
    2,359.69x = 3,256.64 × 1,351.50
  4. Step 4: Simplify right side
    2,359.69x = 4,401,342.66
  5. Step 5: Solve for x
    x = 4,401,342.66/2,359.69
  6. Step 6: Final answer
    x = 1,865.22

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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.