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Finding the Fourth Proportional to 2,541.70, 3,809.94 and 980.74

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Solution

The fourth proportional to 2,541.70, 3,809.94 and 980.74 is: 1,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.70 : 3,809.94 = 980.74 : x
  2. Step 2: Convert to fraction form
    2,541.70/3,809.94 = 980.74/x
  3. Step 3: Cross multiply
    2,541.70x = 3,809.94 × 980.74
  4. Step 4: Simplify right side
    2,541.70x = 3,736,560.56
  5. Step 5: Solve for x
    x = 3,736,560.56/2,541.70
  6. Step 6: Final answer
    x = 1,470.10

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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.