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Finding the Fourth Proportional to 2,476.83, 3,714.53 and 1,160.18

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Solution

The fourth proportional to 2,476.83, 3,714.53 and 1,160.18 is: 1,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.83 : 3,714.53 = 1,160.18 : x
  2. Step 2: Convert to fraction form
    2,476.83/3,714.53 = 1,160.18/x
  3. Step 3: Cross multiply
    2,476.83x = 3,714.53 × 1,160.18
  4. Step 4: Simplify right side
    2,476.83x = 4,309,499.04
  5. Step 5: Solve for x
    x = 4,309,499.04/2,476.83
  6. Step 6: Final answer
    x = 1,739.93

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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.