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Finding the Fourth Proportional to 1,789.68, 2,683.48 and 815.25

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Solution

The fourth proportional to 1,789.68, 2,683.48 and 815.25 is: 1,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.68 : 2,683.48 = 815.25 : x
  2. Step 2: Convert to fraction form
    1,789.68/2,683.48 = 815.25/x
  3. Step 3: Cross multiply
    1,789.68x = 2,683.48 × 815.25
  4. Step 4: Simplify right side
    1,789.68x = 2,187,707.07
  5. Step 5: Solve for x
    x = 2,187,707.07/1,789.68
  6. Step 6: Final answer
    x = 1,222.40

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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.