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Finding the Fourth Proportional to 2,714.17, 3,741.47 and 2,123.68

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Solution

The fourth proportional to 2,714.17, 3,741.47 and 2,123.68 is: 2,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.17 : 3,741.47 = 2,123.68 : x
  2. Step 2: Convert to fraction form
    2,714.17/3,741.47 = 2,123.68/x
  3. Step 3: Cross multiply
    2,714.17x = 3,741.47 × 2,123.68
  4. Step 4: Simplify right side
    2,714.17x = 7,945,673.00
  5. Step 5: Solve for x
    x = 7,945,673.00/2,714.17
  6. Step 6: Final answer
    x = 2,927.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.