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Finding the Fourth Proportional to 2,654.17, 3,662.62 and 1,475.01

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Solution

The fourth proportional to 2,654.17, 3,662.62 and 1,475.01 is: 2,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.17 : 3,662.62 = 1,475.01 : x
  2. Step 2: Convert to fraction form
    2,654.17/3,662.62 = 1,475.01/x
  3. Step 3: Cross multiply
    2,654.17x = 3,662.62 × 1,475.01
  4. Step 4: Simplify right side
    2,654.17x = 5,402,397.44
  5. Step 5: Solve for x
    x = 5,402,397.44/2,654.17
  6. Step 6: Final answer
    x = 2,035.44

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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.