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Finding the Fourth Proportional to 2,654.62, 3,662.87 and 1,710.21

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Solution

The fourth proportional to 2,654.62, 3,662.87 and 1,710.21 is: 2,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.62 : 3,662.87 = 1,710.21 : x
  2. Step 2: Convert to fraction form
    2,654.62/3,662.87 = 1,710.21/x
  3. Step 3: Cross multiply
    2,654.62x = 3,662.87 × 1,710.21
  4. Step 4: Simplify right side
    2,654.62x = 6,264,291.71
  5. Step 5: Solve for x
    x = 6,264,291.71/2,654.62
  6. Step 6: Final answer
    x = 2,359.77

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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.