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Finding the Fourth Proportional to 1,654.34, 2,282.94 and 908.32

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Solution

The fourth proportional to 1,654.34, 2,282.94 and 908.32 is: 1,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,282.94 = 908.32 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,282.94 = 908.32/x
  3. Step 3: Cross multiply
    1,654.34x = 2,282.94 × 908.32
  4. Step 4: Simplify right side
    1,654.34x = 2,073,640.06
  5. Step 5: Solve for x
    x = 2,073,640.06/1,654.34
  6. Step 6: Final answer
    x = 1,253.45

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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.