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Finding the Fourth Proportional to 2,583.85, 3,565.67 and 1,464.76

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Solution

The fourth proportional to 2,583.85, 3,565.67 and 1,464.76 is: 2,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.85 : 3,565.67 = 1,464.76 : x
  2. Step 2: Convert to fraction form
    2,583.85/3,565.67 = 1,464.76/x
  3. Step 3: Cross multiply
    2,583.85x = 3,565.67 × 1,464.76
  4. Step 4: Simplify right side
    2,583.85x = 5,222,846.13
  5. Step 5: Solve for x
    x = 5,222,846.13/2,583.85
  6. Step 6: Final answer
    x = 2,021.34

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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.