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Finding the Fourth Proportional to 1,615.58, 2,419.02 and 844.46

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Solution

The fourth proportional to 1,615.58, 2,419.02 and 844.46 is: 1,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.58 : 2,419.02 = 844.46 : x
  2. Step 2: Convert to fraction form
    1,615.58/2,419.02 = 844.46/x
  3. Step 3: Cross multiply
    1,615.58x = 2,419.02 × 844.46
  4. Step 4: Simplify right side
    1,615.58x = 2,042,753.53
  5. Step 5: Solve for x
    x = 2,042,753.53/1,615.58
  6. Step 6: Final answer
    x = 1,264.41

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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.