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Finding the Fourth Proportional to 2,583, 3,564.45 and 1,404.05

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Solution

The fourth proportional to 2,583, 3,564.45 and 1,404.05 is: 1,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,564.45 = 1,404.05 : x
  2. Step 2: Convert to fraction form
    2,583/3,564.45 = 1,404.05/x
  3. Step 3: Cross multiply
    2,583x = 3,564.45 × 1,404.05
  4. Step 4: Simplify right side
    2,583x = 5,004,648.20
  5. Step 5: Solve for x
    x = 5,004,648.20/2,583
  6. Step 6: Final answer
    x = 1,937.53

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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.