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Finding the Fourth Proportional to 2,404.89, 3,604.68 and 1,017.77

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Solution

The fourth proportional to 2,404.89, 3,604.68 and 1,017.77 is: 1,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.89 : 3,604.68 = 1,017.77 : x
  2. Step 2: Convert to fraction form
    2,404.89/3,604.68 = 1,017.77/x
  3. Step 3: Cross multiply
    2,404.89x = 3,604.68 × 1,017.77
  4. Step 4: Simplify right side
    2,404.89x = 3,668,717.14
  5. Step 5: Solve for x
    x = 3,668,717.14/2,404.89
  6. Step 6: Final answer
    x = 1,525.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.