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Finding the Fourth Proportional to 2,283.72, 3,152.72 and 1,583.88

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Solution

The fourth proportional to 2,283.72, 3,152.72 and 1,583.88 is: 2,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.72 : 3,152.72 = 1,583.88 : x
  2. Step 2: Convert to fraction form
    2,283.72/3,152.72 = 1,583.88/x
  3. Step 3: Cross multiply
    2,283.72x = 3,152.72 × 1,583.88
  4. Step 4: Simplify right side
    2,283.72x = 4,993,530.15
  5. Step 5: Solve for x
    x = 4,993,530.15/2,283.72
  6. Step 6: Final answer
    x = 2,186.58

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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.