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Finding the Fourth Proportional to 2,583.65, 3,564.84 and 1,464.33

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Solution

The fourth proportional to 2,583.65, 3,564.84 and 1,464.33 is: 2,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.65 : 3,564.84 = 1,464.33 : x
  2. Step 2: Convert to fraction form
    2,583.65/3,564.84 = 1,464.33/x
  3. Step 3: Cross multiply
    2,583.65x = 3,564.84 × 1,464.33
  4. Step 4: Simplify right side
    2,583.65x = 5,220,102.16
  5. Step 5: Solve for x
    x = 5,220,102.16/2,583.65
  6. Step 6: Final answer
    x = 2,020.44

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Why These Related Problems?

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