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Finding the Fourth Proportional to 1,654.64, 2,283.40 and 908.60

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Solution

The fourth proportional to 1,654.64, 2,283.40 and 908.60 is: 1,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.64 : 2,283.40 = 908.60 : x
  2. Step 2: Convert to fraction form
    1,654.64/2,283.40 = 908.60/x
  3. Step 3: Cross multiply
    1,654.64x = 2,283.40 × 908.60
  4. Step 4: Simplify right side
    1,654.64x = 2,074,697.24
  5. Step 5: Solve for x
    x = 2,074,697.24/1,654.64
  6. Step 6: Final answer
    x = 1,253.87

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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.