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Finding the Fourth Proportional to 1,546.04, 2,317.96 and 723.86

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Solution

The fourth proportional to 1,546.04, 2,317.96 and 723.86 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.04 : 2,317.96 = 723.86 : x
  2. Step 2: Convert to fraction form
    1,546.04/2,317.96 = 723.86/x
  3. Step 3: Cross multiply
    1,546.04x = 2,317.96 × 723.86
  4. Step 4: Simplify right side
    1,546.04x = 1,677,874.91
  5. Step 5: Solve for x
    x = 1,677,874.91/1,546.04
  6. Step 6: Final answer
    x = 1,085.28

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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.