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Finding the Fourth Proportional to 3,257.80, 4,888.32 and 1,526.56

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Solution

The fourth proportional to 3,257.80, 4,888.32 and 1,526.56 is: 2,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.80 : 4,888.32 = 1,526.56 : x
  2. Step 2: Convert to fraction form
    3,257.80/4,888.32 = 1,526.56/x
  3. Step 3: Cross multiply
    3,257.80x = 4,888.32 × 1,526.56
  4. Step 4: Simplify right side
    3,257.80x = 7,462,313.78
  5. Step 5: Solve for x
    x = 7,462,313.78/3,257.80
  6. Step 6: Final answer
    x = 2,290.60

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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.