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Finding the Fourth Proportional to 2,329.59, 3,489.78 and 1,402.41

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Solution

The fourth proportional to 2,329.59, 3,489.78 and 1,402.41 is: 2,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.59 : 3,489.78 = 1,402.41 : x
  2. Step 2: Convert to fraction form
    2,329.59/3,489.78 = 1,402.41/x
  3. Step 3: Cross multiply
    2,329.59x = 3,489.78 × 1,402.41
  4. Step 4: Simplify right side
    2,329.59x = 4,894,102.37
  5. Step 5: Solve for x
    x = 4,894,102.37/2,329.59
  6. Step 6: Final answer
    x = 2,100.84

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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.