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Finding the Fourth Proportional to 3,180.25, 4,771.14 and 988.84

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Solution

The fourth proportional to 3,180.25, 4,771.14 and 988.84 is: 1,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.25 : 4,771.14 = 988.84 : x
  2. Step 2: Convert to fraction form
    3,180.25/4,771.14 = 988.84/x
  3. Step 3: Cross multiply
    3,180.25x = 4,771.14 × 988.84
  4. Step 4: Simplify right side
    3,180.25x = 4,717,894.08
  5. Step 5: Solve for x
    x = 4,717,894.08/3,180.25
  6. Step 6: Final answer
    x = 1,483.50

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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.