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Finding the Fourth Proportional to 1,673.79, 2,309.97 and 927.99

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Solution

The fourth proportional to 1,673.79, 2,309.97 and 927.99 is: 1,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.79 : 2,309.97 = 927.99 : x
  2. Step 2: Convert to fraction form
    1,673.79/2,309.97 = 927.99/x
  3. Step 3: Cross multiply
    1,673.79x = 2,309.97 × 927.99
  4. Step 4: Simplify right side
    1,673.79x = 2,143,619.25
  5. Step 5: Solve for x
    x = 2,143,619.25/1,673.79
  6. Step 6: Final answer
    x = 1,280.70

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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.