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Finding the Fourth Proportional to 2,946.48, 4,420.50 and 998.82

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Solution

The fourth proportional to 2,946.48, 4,420.50 and 998.82 is: 1,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.48 : 4,420.50 = 998.82 : x
  2. Step 2: Convert to fraction form
    2,946.48/4,420.50 = 998.82/x
  3. Step 3: Cross multiply
    2,946.48x = 4,420.50 × 998.82
  4. Step 4: Simplify right side
    2,946.48x = 4,415,283.81
  5. Step 5: Solve for x
    x = 4,415,283.81/2,946.48
  6. Step 6: Final answer
    x = 1,498.49

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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.