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Finding the Fourth Proportional to 3,261.44, 4,891.92 and 1,312.40

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Solution

The fourth proportional to 3,261.44, 4,891.92 and 1,312.40 is: 1,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.44 : 4,891.92 = 1,312.40 : x
  2. Step 2: Convert to fraction form
    3,261.44/4,891.92 = 1,312.40/x
  3. Step 3: Cross multiply
    3,261.44x = 4,891.92 × 1,312.40
  4. Step 4: Simplify right side
    3,261.44x = 6,420,155.81
  5. Step 5: Solve for x
    x = 6,420,155.81/3,261.44
  6. Step 6: Final answer
    x = 1,968.50

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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.