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Finding the Fourth Proportional to 3,260.70, 4,891.14 and 1,312.74

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Solution

The fourth proportional to 3,260.70, 4,891.14 and 1,312.74 is: 1,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.70 : 4,891.14 = 1,312.74 : x
  2. Step 2: Convert to fraction form
    3,260.70/4,891.14 = 1,312.74/x
  3. Step 3: Cross multiply
    3,260.70x = 4,891.14 × 1,312.74
  4. Step 4: Simplify right side
    3,260.70x = 6,420,795.12
  5. Step 5: Solve for x
    x = 6,420,795.12/3,260.70
  6. Step 6: Final answer
    x = 1,969.15

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1.5x scale

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.