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Finding the Fourth Proportional to 2,461.92, 3,687.34 and 1,419.45

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Solution

The fourth proportional to 2,461.92, 3,687.34 and 1,419.45 is: 2,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.92 : 3,687.34 = 1,419.45 : x
  2. Step 2: Convert to fraction form
    2,461.92/3,687.34 = 1,419.45/x
  3. Step 3: Cross multiply
    2,461.92x = 3,687.34 × 1,419.45
  4. Step 4: Simplify right side
    2,461.92x = 5,233,994.76
  5. Step 5: Solve for x
    x = 5,233,994.76/2,461.92
  6. Step 6: Final answer
    x = 2,125.98

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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.