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Finding the Fourth Proportional to 2,109.68, 3,140.28 and 2,078.48

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Solution

The fourth proportional to 2,109.68, 3,140.28 and 2,078.48 is: 3,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.68 : 3,140.28 = 2,078.48 : x
  2. Step 2: Convert to fraction form
    2,109.68/3,140.28 = 2,078.48/x
  3. Step 3: Cross multiply
    2,109.68x = 3,140.28 × 2,078.48
  4. Step 4: Simplify right side
    2,109.68x = 6,527,009.17
  5. Step 5: Solve for x
    x = 6,527,009.17/2,109.68
  6. Step 6: Final answer
    x = 3,093.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.