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Finding the Fourth Proportional to 2,746.90, 4,119.60 and 772.41

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Solution

The fourth proportional to 2,746.90, 4,119.60 and 772.41 is: 1,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.90 : 4,119.60 = 772.41 : x
  2. Step 2: Convert to fraction form
    2,746.90/4,119.60 = 772.41/x
  3. Step 3: Cross multiply
    2,746.90x = 4,119.60 × 772.41
  4. Step 4: Simplify right side
    2,746.90x = 3,182,020.24
  5. Step 5: Solve for x
    x = 3,182,020.24/2,746.90
  6. Step 6: Final answer
    x = 1,158.40

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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.