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Finding the Fourth Proportional to 2,579.52, 3,870.30 and 1,654.74

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Solution

The fourth proportional to 2,579.52, 3,870.30 and 1,654.74 is: 2,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.52 : 3,870.30 = 1,654.74 : x
  2. Step 2: Convert to fraction form
    2,579.52/3,870.30 = 1,654.74/x
  3. Step 3: Cross multiply
    2,579.52x = 3,870.30 × 1,654.74
  4. Step 4: Simplify right side
    2,579.52x = 6,404,340.22
  5. Step 5: Solve for x
    x = 6,404,340.22/2,579.52
  6. Step 6: Final answer
    x = 2,482.76

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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.