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Finding the Fourth Proportional to 2,591.46, 3,888.54 and 1,979.10

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Solution

The fourth proportional to 2,591.46, 3,888.54 and 1,979.10 is: 2,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.46 : 3,888.54 = 1,979.10 : x
  2. Step 2: Convert to fraction form
    2,591.46/3,888.54 = 1,979.10/x
  3. Step 3: Cross multiply
    2,591.46x = 3,888.54 × 1,979.10
  4. Step 4: Simplify right side
    2,591.46x = 7,695,809.51
  5. Step 5: Solve for x
    x = 7,695,809.51/2,591.46
  6. Step 6: Final answer
    x = 2,969.68

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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.