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Finding the Fourth Proportional to 2,615.36, 3,919.71 and 1,225.63

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Solution

The fourth proportional to 2,615.36, 3,919.71 and 1,225.63 is: 1,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.36 : 3,919.71 = 1,225.63 : x
  2. Step 2: Convert to fraction form
    2,615.36/3,919.71 = 1,225.63/x
  3. Step 3: Cross multiply
    2,615.36x = 3,919.71 × 1,225.63
  4. Step 4: Simplify right side
    2,615.36x = 4,804,113.32
  5. Step 5: Solve for x
    x = 4,804,113.32/2,615.36
  6. Step 6: Final answer
    x = 1,836.88

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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.