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Finding the Fourth Proportional to 1,965.47, 2,946.27 and 732.54

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Solution

The fourth proportional to 1,965.47, 2,946.27 and 732.54 is: 1,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.47 : 2,946.27 = 732.54 : x
  2. Step 2: Convert to fraction form
    1,965.47/2,946.27 = 732.54/x
  3. Step 3: Cross multiply
    1,965.47x = 2,946.27 × 732.54
  4. Step 4: Simplify right side
    1,965.47x = 2,158,274.42
  5. Step 5: Solve for x
    x = 2,158,274.42/1,965.47
  6. Step 6: Final answer
    x = 1,098.10

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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.