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Finding the Fourth Proportional to 1,654.84, 2,482.26 and 885.56

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Solution

The fourth proportional to 1,654.84, 2,482.26 and 885.56 is: 1,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.84 : 2,482.26 = 885.56 : x
  2. Step 2: Convert to fraction form
    1,654.84/2,482.26 = 885.56/x
  3. Step 3: Cross multiply
    1,654.84x = 2,482.26 × 885.56
  4. Step 4: Simplify right side
    1,654.84x = 2,198,190.17
  5. Step 5: Solve for x
    x = 2,198,190.17/1,654.84
  6. Step 6: Final answer
    x = 1,328.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.