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Finding the Fourth Proportional to 2,323.90, 3,206.54 and 1,380.53

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Solution

The fourth proportional to 2,323.90, 3,206.54 and 1,380.53 is: 1,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.90 : 3,206.54 = 1,380.53 : x
  2. Step 2: Convert to fraction form
    2,323.90/3,206.54 = 1,380.53/x
  3. Step 3: Cross multiply
    2,323.90x = 3,206.54 × 1,380.53
  4. Step 4: Simplify right side
    2,323.90x = 4,426,723.86
  5. Step 5: Solve for x
    x = 4,426,723.86/2,323.90
  6. Step 6: Final answer
    x = 1,904.87

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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.