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Finding the Fourth Proportional to 2,582.97, 3,564.48 and 1,404.03

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Solution

The fourth proportional to 2,582.97, 3,564.48 and 1,404.03 is: 1,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.97 : 3,564.48 = 1,404.03 : x
  2. Step 2: Convert to fraction form
    2,582.97/3,564.48 = 1,404.03/x
  3. Step 3: Cross multiply
    2,582.97x = 3,564.48 × 1,404.03
  4. Step 4: Simplify right side
    2,582.97x = 5,004,636.85
  5. Step 5: Solve for x
    x = 5,004,636.85/2,582.97
  6. Step 6: Final answer
    x = 1,937.55

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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.