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Finding the Fourth Proportional to 2,300.92, 3,174.54 and 1,461.40

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Solution

The fourth proportional to 2,300.92, 3,174.54 and 1,461.40 is: 2,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.92 : 3,174.54 = 1,461.40 : x
  2. Step 2: Convert to fraction form
    2,300.92/3,174.54 = 1,461.40/x
  3. Step 3: Cross multiply
    2,300.92x = 3,174.54 × 1,461.40
  4. Step 4: Simplify right side
    2,300.92x = 4,639,272.76
  5. Step 5: Solve for x
    x = 4,639,272.76/2,300.92
  6. Step 6: Final answer
    x = 2,016.27

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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.