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Finding the Fourth Proportional to 2,654.87, 3,662.13 and 1,710.35

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Solution

The fourth proportional to 2,654.87, 3,662.13 and 1,710.35 is: 2,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.87 : 3,662.13 = 1,710.35 : x
  2. Step 2: Convert to fraction form
    2,654.87/3,662.13 = 1,710.35/x
  3. Step 3: Cross multiply
    2,654.87x = 3,662.13 × 1,710.35
  4. Step 4: Simplify right side
    2,654.87x = 6,263,524.05
  5. Step 5: Solve for x
    x = 6,263,524.05/2,654.87
  6. Step 6: Final answer
    x = 2,359.26

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1.5x scale

Why These Related Problems?

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