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Finding the Fourth Proportional to 2,946.03, 4,416.29 and 996.87

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Solution

The fourth proportional to 2,946.03, 4,416.29 and 996.87 is: 1,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.03 : 4,416.29 = 996.87 : x
  2. Step 2: Convert to fraction form
    2,946.03/4,416.29 = 996.87/x
  3. Step 3: Cross multiply
    2,946.03x = 4,416.29 × 996.87
  4. Step 4: Simplify right side
    2,946.03x = 4,402,467.01
  5. Step 5: Solve for x
    x = 4,402,467.01/2,946.03
  6. Step 6: Final answer
    x = 1,494.37

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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.