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Finding the Fourth Proportional to 3,257.69, 4,875 and 2,025.68

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Solution

The fourth proportional to 3,257.69, 4,875 and 2,025.68 is: 3,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.69 : 4,875 = 2,025.68 : x
  2. Step 2: Convert to fraction form
    3,257.69/4,875 = 2,025.68/x
  3. Step 3: Cross multiply
    3,257.69x = 4,875 × 2,025.68
  4. Step 4: Simplify right side
    3,257.69x = 9,875,190
  5. Step 5: Solve for x
    x = 9,875,190/3,257.69
  6. Step 6: Final answer
    x = 3,031.35

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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.