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Finding the Fourth Proportional to 1,965.42, 2,948.42 and 1,040.74

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Solution

The fourth proportional to 1,965.42, 2,948.42 and 1,040.74 is: 1,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.42 : 2,948.42 = 1,040.74 : x
  2. Step 2: Convert to fraction form
    1,965.42/2,948.42 = 1,040.74/x
  3. Step 3: Cross multiply
    1,965.42x = 2,948.42 × 1,040.74
  4. Step 4: Simplify right side
    1,965.42x = 3,068,533.86
  5. Step 5: Solve for x
    x = 3,068,533.86/1,965.42
  6. Step 6: Final answer
    x = 1,561.26

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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.