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Finding the Fourth Proportional to 2,712.28, 3,740.28 and 1,650.19

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Solution

The fourth proportional to 2,712.28, 3,740.28 and 1,650.19 is: 2,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.28 : 3,740.28 = 1,650.19 : x
  2. Step 2: Convert to fraction form
    2,712.28/3,740.28 = 1,650.19/x
  3. Step 3: Cross multiply
    2,712.28x = 3,740.28 × 1,650.19
  4. Step 4: Simplify right side
    2,712.28x = 6,172,172.65
  5. Step 5: Solve for x
    x = 6,172,172.65/2,712.28
  6. Step 6: Final answer
    x = 2,275.64

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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.