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Finding the Fourth Proportional to 2,346.17, 3,237.17 and 1,461.65

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Solution

The fourth proportional to 2,346.17, 3,237.17 and 1,461.65 is: 2,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.17 : 3,237.17 = 1,461.65 : x
  2. Step 2: Convert to fraction form
    2,346.17/3,237.17 = 1,461.65/x
  3. Step 3: Cross multiply
    2,346.17x = 3,237.17 × 1,461.65
  4. Step 4: Simplify right side
    2,346.17x = 4,731,586.04
  5. Step 5: Solve for x
    x = 4,731,586.04/2,346.17
  6. Step 6: Final answer
    x = 2,016.73

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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.