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Finding the Fourth Proportional to 2,540.07, 3,810.29 and 691.33

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Solution

The fourth proportional to 2,540.07, 3,810.29 and 691.33 is: 1,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.07 : 3,810.29 = 691.33 : x
  2. Step 2: Convert to fraction form
    2,540.07/3,810.29 = 691.33/x
  3. Step 3: Cross multiply
    2,540.07x = 3,810.29 × 691.33
  4. Step 4: Simplify right side
    2,540.07x = 2,634,159.99
  5. Step 5: Solve for x
    x = 2,634,159.99/2,540.07
  6. Step 6: Final answer
    x = 1,037.04

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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.