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Finding the Fourth Proportional to 2,346.71, 3,513.05 and 1,419.45

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Solution

The fourth proportional to 2,346.71, 3,513.05 and 1,419.45 is: 2,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.71 : 3,513.05 = 1,419.45 : x
  2. Step 2: Convert to fraction form
    2,346.71/3,513.05 = 1,419.45/x
  3. Step 3: Cross multiply
    2,346.71x = 3,513.05 × 1,419.45
  4. Step 4: Simplify right side
    2,346.71x = 4,986,591.73
  5. Step 5: Solve for x
    x = 4,986,591.73/2,346.71
  6. Step 6: Final answer
    x = 2,124.93

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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.