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Finding the Fourth Proportional to 3,140.95, 4,334.96 and 1,882.05

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Solution

The fourth proportional to 3,140.95, 4,334.96 and 1,882.05 is: 2,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.95 : 4,334.96 = 1,882.05 : x
  2. Step 2: Convert to fraction form
    3,140.95/4,334.96 = 1,882.05/x
  3. Step 3: Cross multiply
    3,140.95x = 4,334.96 × 1,882.05
  4. Step 4: Simplify right side
    3,140.95x = 8,158,602.06
  5. Step 5: Solve for x
    x = 8,158,602.06/3,140.95
  6. Step 6: Final answer
    x = 2,597.50

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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.