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Finding the Fourth Proportional to 2,304.86, 3,457.18 and 1,071.83

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Solution

The fourth proportional to 2,304.86, 3,457.18 and 1,071.83 is: 1,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.86 : 3,457.18 = 1,071.83 : x
  2. Step 2: Convert to fraction form
    2,304.86/3,457.18 = 1,071.83/x
  3. Step 3: Cross multiply
    2,304.86x = 3,457.18 × 1,071.83
  4. Step 4: Simplify right side
    2,304.86x = 3,705,519.22
  5. Step 5: Solve for x
    x = 3,705,519.22/2,304.86
  6. Step 6: Final answer
    x = 1,607.70

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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.