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Finding the Fourth Proportional to 2,409.71, 3,614.49 and 766.35

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Solution

The fourth proportional to 2,409.71, 3,614.49 and 766.35 is: 1,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.71 : 3,614.49 = 766.35 : x
  2. Step 2: Convert to fraction form
    2,409.71/3,614.49 = 766.35/x
  3. Step 3: Cross multiply
    2,409.71x = 3,614.49 × 766.35
  4. Step 4: Simplify right side
    2,409.71x = 2,769,964.41
  5. Step 5: Solve for x
    x = 2,769,964.41/2,409.71
  6. Step 6: Final answer
    x = 1,149.50

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Double scale
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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.