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Finding the Fourth Proportional to 2,456.69, 3,389.11 and 1,461.40

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Solution

The fourth proportional to 2,456.69, 3,389.11 and 1,461.40 is: 2,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.69 : 3,389.11 = 1,461.40 : x
  2. Step 2: Convert to fraction form
    2,456.69/3,389.11 = 1,461.40/x
  3. Step 3: Cross multiply
    2,456.69x = 3,389.11 × 1,461.40
  4. Step 4: Simplify right side
    2,456.69x = 4,952,845.35
  5. Step 5: Solve for x
    x = 4,952,845.35/2,456.69
  6. Step 6: Final answer
    x = 2,016.06

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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.