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Finding the Fourth Proportional to 2,492.56, 3,437.40 and 1,969.84

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Solution

The fourth proportional to 2,492.56, 3,437.40 and 1,969.84 is: 2,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.56 : 3,437.40 = 1,969.84 : x
  2. Step 2: Convert to fraction form
    2,492.56/3,437.40 = 1,969.84/x
  3. Step 3: Cross multiply
    2,492.56x = 3,437.40 × 1,969.84
  4. Step 4: Simplify right side
    2,492.56x = 6,771,128.02
  5. Step 5: Solve for x
    x = 6,771,128.02/2,492.56
  6. Step 6: Final answer
    x = 2,716.54

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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.