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Finding the Fourth Proportional to 2,446.65, 3,378.17 and 1,503.74

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Solution

The fourth proportional to 2,446.65, 3,378.17 and 1,503.74 is: 2,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.65 : 3,378.17 = 1,503.74 : x
  2. Step 2: Convert to fraction form
    2,446.65/3,378.17 = 1,503.74/x
  3. Step 3: Cross multiply
    2,446.65x = 3,378.17 × 1,503.74
  4. Step 4: Simplify right side
    2,446.65x = 5,079,889.36
  5. Step 5: Solve for x
    x = 5,079,889.36/2,446.65
  6. Step 6: Final answer
    x = 2,076.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.