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Finding the Fourth Proportional to 2,998.76, 4,498.12 and 946.76

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Solution

The fourth proportional to 2,998.76, 4,498.12 and 946.76 is: 1,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.76 : 4,498.12 = 946.76 : x
  2. Step 2: Convert to fraction form
    2,998.76/4,498.12 = 946.76/x
  3. Step 3: Cross multiply
    2,998.76x = 4,498.12 × 946.76
  4. Step 4: Simplify right side
    2,998.76x = 4,258,640.09
  5. Step 5: Solve for x
    x = 4,258,640.09/2,998.76
  6. Step 6: Final answer
    x = 1,420.13

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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.