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Finding the Fourth Proportional to 3,321.90, 4,981.59 and 981.30

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Solution

The fourth proportional to 3,321.90, 4,981.59 and 981.30 is: 1,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.90 : 4,981.59 = 981.30 : x
  2. Step 2: Convert to fraction form
    3,321.90/4,981.59 = 981.30/x
  3. Step 3: Cross multiply
    3,321.90x = 4,981.59 × 981.30
  4. Step 4: Simplify right side
    3,321.90x = 4,888,434.27
  5. Step 5: Solve for x
    x = 4,888,434.27/3,321.90
  6. Step 6: Final answer
    x = 1,471.58

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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.