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Finding the Fourth Proportional to 2,328.39, 3,489.75 and 1,782.86

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Solution

The fourth proportional to 2,328.39, 3,489.75 and 1,782.86 is: 2,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.39 : 3,489.75 = 1,782.86 : x
  2. Step 2: Convert to fraction form
    2,328.39/3,489.75 = 1,782.86/x
  3. Step 3: Cross multiply
    2,328.39x = 3,489.75 × 1,782.86
  4. Step 4: Simplify right side
    2,328.39x = 6,221,718.24
  5. Step 5: Solve for x
    x = 6,221,718.24/2,328.39
  6. Step 6: Final answer
    x = 2,672.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.