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Finding the Fourth Proportional to 2,563.75, 3,534.35 and 2,528.65

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Solution

The fourth proportional to 2,563.75, 3,534.35 and 2,528.65 is: 3,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.75 : 3,534.35 = 2,528.65 : x
  2. Step 2: Convert to fraction form
    2,563.75/3,534.35 = 2,528.65/x
  3. Step 3: Cross multiply
    2,563.75x = 3,534.35 × 2,528.65
  4. Step 4: Simplify right side
    2,563.75x = 8,937,116.46
  5. Step 5: Solve for x
    x = 8,937,116.46/2,563.75
  6. Step 6: Final answer
    x = 3,485.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.