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Finding the Fourth Proportional to 2,583.75, 3,574.98 and 2,252.88

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Solution

The fourth proportional to 2,583.75, 3,574.98 and 2,252.88 is: 3,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.75 : 3,574.98 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    2,583.75/3,574.98 = 2,252.88/x
  3. Step 3: Cross multiply
    2,583.75x = 3,574.98 × 2,252.88
  4. Step 4: Simplify right side
    2,583.75x = 8,054,000.94
  5. Step 5: Solve for x
    x = 8,054,000.94/2,583.75
  6. Step 6: Final answer
    x = 3,117.18

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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.