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Finding the Fourth Proportional to 2,323.71, 3,207.19 and 1,818.57

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Solution

The fourth proportional to 2,323.71, 3,207.19 and 1,818.57 is: 2,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.71 : 3,207.19 = 1,818.57 : x
  2. Step 2: Convert to fraction form
    2,323.71/3,207.19 = 1,818.57/x
  3. Step 3: Cross multiply
    2,323.71x = 3,207.19 × 1,818.57
  4. Step 4: Simplify right side
    2,323.71x = 5,832,499.52
  5. Step 5: Solve for x
    x = 5,832,499.52/2,323.71
  6. Step 6: Final answer
    x = 2,509.99

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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.