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Finding the Fourth Proportional to 1,965.74, 2,948.58 and 732.74

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Solution

The fourth proportional to 1,965.74, 2,948.58 and 732.74 is: 1,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.74 : 2,948.58 = 732.74 : x
  2. Step 2: Convert to fraction form
    1,965.74/2,948.58 = 732.74/x
  3. Step 3: Cross multiply
    1,965.74x = 2,948.58 × 732.74
  4. Step 4: Simplify right side
    1,965.74x = 2,160,542.51
  5. Step 5: Solve for x
    x = 2,160,542.51/1,965.74
  6. Step 6: Final answer
    x = 1,099.10

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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.