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Finding the Fourth Proportional to 2,306.79, 3,461.40 and 1,009.17

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Solution

The fourth proportional to 2,306.79, 3,461.40 and 1,009.17 is: 1,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.79 : 3,461.40 = 1,009.17 : x
  2. Step 2: Convert to fraction form
    2,306.79/3,461.40 = 1,009.17/x
  3. Step 3: Cross multiply
    2,306.79x = 3,461.40 × 1,009.17
  4. Step 4: Simplify right side
    2,306.79x = 3,493,141.04
  5. Step 5: Solve for x
    x = 3,493,141.04/2,306.79
  6. Step 6: Final answer
    x = 1,514.29

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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.