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Finding the Fourth Proportional to 2,326.20, 3,491.94 and 1,461

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Solution

The fourth proportional to 2,326.20, 3,491.94 and 1,461 is: 2,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.20 : 3,491.94 = 1,461 : x
  2. Step 2: Convert to fraction form
    2,326.20/3,491.94 = 1,461/x
  3. Step 3: Cross multiply
    2,326.20x = 3,491.94 × 1,461
  4. Step 4: Simplify right side
    2,326.20x = 5,101,724.34
  5. Step 5: Solve for x
    x = 5,101,724.34/2,326.20
  6. Step 6: Final answer
    x = 2,193.16

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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.