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Finding the Fourth Proportional to 2,333.90, 3,499.81 and 946.86

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Solution

The fourth proportional to 2,333.90, 3,499.81 and 946.86 is: 1,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.90 : 3,499.81 = 946.86 : x
  2. Step 2: Convert to fraction form
    2,333.90/3,499.81 = 946.86/x
  3. Step 3: Cross multiply
    2,333.90x = 3,499.81 × 946.86
  4. Step 4: Simplify right side
    2,333.90x = 3,313,830.10
  5. Step 5: Solve for x
    x = 3,313,830.10/2,333.90
  6. Step 6: Final answer
    x = 1,419.87

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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.