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Finding the Fourth Proportional to 1,946.02, 2,919.88 and 1,021.36

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Solution

The fourth proportional to 1,946.02, 2,919.88 and 1,021.36 is: 1,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.02 : 2,919.88 = 1,021.36 : x
  2. Step 2: Convert to fraction form
    1,946.02/2,919.88 = 1,021.36/x
  3. Step 3: Cross multiply
    1,946.02x = 2,919.88 × 1,021.36
  4. Step 4: Simplify right side
    1,946.02x = 2,982,248.64
  5. Step 5: Solve for x
    x = 2,982,248.64/1,946.02
  6. Step 6: Final answer
    x = 1,532.49

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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.