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Finding the Fourth Proportional to 2,104.64, 3,140.73 and 1,848.68

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Solution

The fourth proportional to 2,104.64, 3,140.73 and 1,848.68 is: 2,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.64 : 3,140.73 = 1,848.68 : x
  2. Step 2: Convert to fraction form
    2,104.64/3,140.73 = 1,848.68/x
  3. Step 3: Cross multiply
    2,104.64x = 3,140.73 × 1,848.68
  4. Step 4: Simplify right side
    2,104.64x = 5,806,195.97
  5. Step 5: Solve for x
    x = 5,806,195.97/2,104.64
  6. Step 6: Final answer
    x = 2,758.77

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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.