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Finding the Fourth Proportional to 1,770.96, 2,444.04 and 985.24

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Solution

The fourth proportional to 1,770.96, 2,444.04 and 985.24 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.96 : 2,444.04 = 985.24 : x
  2. Step 2: Convert to fraction form
    1,770.96/2,444.04 = 985.24/x
  3. Step 3: Cross multiply
    1,770.96x = 2,444.04 × 985.24
  4. Step 4: Simplify right side
    1,770.96x = 2,407,965.97
  5. Step 5: Solve for x
    x = 2,407,965.97/1,770.96
  6. Step 6: Final answer
    x = 1,359.70

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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.