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Finding the Fourth Proportional to 2,583.54, 3,565.28 and 1,464.56

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Solution

The fourth proportional to 2,583.54, 3,565.28 and 1,464.56 is: 2,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.54 : 3,565.28 = 1,464.56 : x
  2. Step 2: Convert to fraction form
    2,583.54/3,565.28 = 1,464.56/x
  3. Step 3: Cross multiply
    2,583.54x = 3,565.28 × 1,464.56
  4. Step 4: Simplify right side
    2,583.54x = 5,221,541.33
  5. Step 5: Solve for x
    x = 5,221,541.33/2,583.54
  6. Step 6: Final answer
    x = 2,021.08

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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.