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Finding the Fourth Proportional to 2,564.64, 3,870.08 and 2,473.12

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Solution

The fourth proportional to 2,564.64, 3,870.08 and 2,473.12 is: 3,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.64 : 3,870.08 = 2,473.12 : x
  2. Step 2: Convert to fraction form
    2,564.64/3,870.08 = 2,473.12/x
  3. Step 3: Cross multiply
    2,564.64x = 3,870.08 × 2,473.12
  4. Step 4: Simplify right side
    2,564.64x = 9,571,172.25
  5. Step 5: Solve for x
    x = 9,571,172.25/2,564.64
  6. Step 6: Final answer
    x = 3,731.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.