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Finding the Fourth Proportional to 2,306.81, 3,460.19 and 1,073.53

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Solution

The fourth proportional to 2,306.81, 3,460.19 and 1,073.53 is: 1,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.81 : 3,460.19 = 1,073.53 : x
  2. Step 2: Convert to fraction form
    2,306.81/3,460.19 = 1,073.53/x
  3. Step 3: Cross multiply
    2,306.81x = 3,460.19 × 1,073.53
  4. Step 4: Simplify right side
    2,306.81x = 3,714,616.73
  5. Step 5: Solve for x
    x = 3,714,616.73/2,306.81
  6. Step 6: Final answer
    x = 1,610.28

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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.