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Finding the Fourth Proportional to 2,613.81, 3,604.65 and 1,775.77

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Solution

The fourth proportional to 2,613.81, 3,604.65 and 1,775.77 is: 2,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.81 : 3,604.65 = 1,775.77 : x
  2. Step 2: Convert to fraction form
    2,613.81/3,604.65 = 1,775.77/x
  3. Step 3: Cross multiply
    2,613.81x = 3,604.65 × 1,775.77
  4. Step 4: Simplify right side
    2,613.81x = 6,401,020.32
  5. Step 5: Solve for x
    x = 6,401,020.32/2,613.81
  6. Step 6: Final answer
    x = 2,448.92

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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.