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Finding the Fourth Proportional to 2,466.34, 3,400.92 and 1,941.46

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Solution

The fourth proportional to 2,466.34, 3,400.92 and 1,941.46 is: 2,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.34 : 3,400.92 = 1,941.46 : x
  2. Step 2: Convert to fraction form
    2,466.34/3,400.92 = 1,941.46/x
  3. Step 3: Cross multiply
    2,466.34x = 3,400.92 × 1,941.46
  4. Step 4: Simplify right side
    2,466.34x = 6,602,750.14
  5. Step 5: Solve for x
    x = 6,602,750.14/2,466.34
  6. Step 6: Final answer
    x = 2,677.15

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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.