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Finding the Fourth Proportional to 2,574.62, 3,855.08 and 2,051.10

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Solution

The fourth proportional to 2,574.62, 3,855.08 and 2,051.10 is: 3,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.62 : 3,855.08 = 2,051.10 : x
  2. Step 2: Convert to fraction form
    2,574.62/3,855.08 = 2,051.10/x
  3. Step 3: Cross multiply
    2,574.62x = 3,855.08 × 2,051.10
  4. Step 4: Simplify right side
    2,574.62x = 7,907,154.59
  5. Step 5: Solve for x
    x = 7,907,154.59/2,574.62
  6. Step 6: Final answer
    x = 3,071.19

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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.