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Finding the Fourth Proportional to 1,654.49, 2,283.20 and 908.48

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Solution

The fourth proportional to 1,654.49, 2,283.20 and 908.48 is: 1,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.49 : 2,283.20 = 908.48 : x
  2. Step 2: Convert to fraction form
    1,654.49/2,283.20 = 908.48/x
  3. Step 3: Cross multiply
    1,654.49x = 2,283.20 × 908.48
  4. Step 4: Simplify right side
    1,654.49x = 2,074,225.58
  5. Step 5: Solve for x
    x = 2,074,225.58/1,654.49
  6. Step 6: Final answer
    x = 1,253.70

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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.