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Finding the Fourth Proportional to 2,740.57, 4,110.95 and 2,598.41

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Solution

The fourth proportional to 2,740.57, 4,110.95 and 2,598.41 is: 3,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.57 : 4,110.95 = 2,598.41 : x
  2. Step 2: Convert to fraction form
    2,740.57/4,110.95 = 2,598.41/x
  3. Step 3: Cross multiply
    2,740.57x = 4,110.95 × 2,598.41
  4. Step 4: Simplify right side
    2,740.57x = 10,681,950.36
  5. Step 5: Solve for x
    x = 10,681,950.36/2,740.57
  6. Step 6: Final answer
    x = 3,897.71

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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.