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Finding the Fourth Proportional to 2,826.48, 3,900.12 and 1,615.07

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Solution

The fourth proportional to 2,826.48, 3,900.12 and 1,615.07 is: 2,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.48 : 3,900.12 = 1,615.07 : x
  2. Step 2: Convert to fraction form
    2,826.48/3,900.12 = 1,615.07/x
  3. Step 3: Cross multiply
    2,826.48x = 3,900.12 × 1,615.07
  4. Step 4: Simplify right side
    2,826.48x = 6,298,966.81
  5. Step 5: Solve for x
    x = 6,298,966.81/2,826.48
  6. Step 6: Final answer
    x = 2,228.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.