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Finding the Fourth Proportional to 2,684.09, 3,700.13 and 1,884.92

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Solution

The fourth proportional to 2,684.09, 3,700.13 and 1,884.92 is: 2,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.09 : 3,700.13 = 1,884.92 : x
  2. Step 2: Convert to fraction form
    2,684.09/3,700.13 = 1,884.92/x
  3. Step 3: Cross multiply
    2,684.09x = 3,700.13 × 1,884.92
  4. Step 4: Simplify right side
    2,684.09x = 6,974,421.11
  5. Step 5: Solve for x
    x = 6,974,421.11/2,684.09
  6. Step 6: Final answer
    x = 2,598.44

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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.