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Finding the Fourth Proportional to 2,419.13, 3,628.48 and 1,713.42

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Solution

The fourth proportional to 2,419.13, 3,628.48 and 1,713.42 is: 2,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.13 : 3,628.48 = 1,713.42 : x
  2. Step 2: Convert to fraction form
    2,419.13/3,628.48 = 1,713.42/x
  3. Step 3: Cross multiply
    2,419.13x = 3,628.48 × 1,713.42
  4. Step 4: Simplify right side
    2,419.13x = 6,217,112.34
  5. Step 5: Solve for x
    x = 6,217,112.34/2,419.13
  6. Step 6: Final answer
    x = 2,569.98

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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.