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Finding the Fourth Proportional to 2,347.59, 3,239.67 and 1,299.63

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Solution

The fourth proportional to 2,347.59, 3,239.67 and 1,299.63 is: 1,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.59 : 3,239.67 = 1,299.63 : x
  2. Step 2: Convert to fraction form
    2,347.59/3,239.67 = 1,299.63/x
  3. Step 3: Cross multiply
    2,347.59x = 3,239.67 × 1,299.63
  4. Step 4: Simplify right side
    2,347.59x = 4,210,356.12
  5. Step 5: Solve for x
    x = 4,210,356.12/2,347.59
  6. Step 6: Final answer
    x = 1,793.48

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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.