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Finding the Fourth Proportional to 2,583, 3,564.32 and 1,464.04

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Solution

The fourth proportional to 2,583, 3,564.32 and 1,464.04 is: 2,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,564.32 = 1,464.04 : x
  2. Step 2: Convert to fraction form
    2,583/3,564.32 = 1,464.04/x
  3. Step 3: Cross multiply
    2,583x = 3,564.32 × 1,464.04
  4. Step 4: Simplify right side
    2,583x = 5,218,307.05
  5. Step 5: Solve for x
    x = 5,218,307.05/2,583
  6. Step 6: Final answer
    x = 2,020.25

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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.