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Finding the Fourth Proportional to 3,035.25, 4,552.88 and 983.25

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Solution

The fourth proportional to 3,035.25, 4,552.88 and 983.25 is: 1,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.25 : 4,552.88 = 983.25 : x
  2. Step 2: Convert to fraction form
    3,035.25/4,552.88 = 983.25/x
  3. Step 3: Cross multiply
    3,035.25x = 4,552.88 × 983.25
  4. Step 4: Simplify right side
    3,035.25x = 4,476,614.34
  5. Step 5: Solve for x
    x = 4,476,614.34/3,035.25
  6. Step 6: Final answer
    x = 1,474.88

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Similar ratio
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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.