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Finding the Fourth Proportional to 2,564.68, 3,853.58 and 2,493.32

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Solution

The fourth proportional to 2,564.68, 3,853.58 and 2,493.32 is: 3,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.68 : 3,853.58 = 2,493.32 : x
  2. Step 2: Convert to fraction form
    2,564.68/3,853.58 = 2,493.32/x
  3. Step 3: Cross multiply
    2,564.68x = 3,853.58 × 2,493.32
  4. Step 4: Simplify right side
    2,564.68x = 9,608,208.09
  5. Step 5: Solve for x
    x = 9,608,208.09/2,564.68
  6. Step 6: Final answer
    x = 3,746.36

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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.