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Finding the Fourth Proportional to 1,789.34, 2,684.78 and 924.26

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Solution

The fourth proportional to 1,789.34, 2,684.78 and 924.26 is: 1,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.34 : 2,684.78 = 924.26 : x
  2. Step 2: Convert to fraction form
    1,789.34/2,684.78 = 924.26/x
  3. Step 3: Cross multiply
    1,789.34x = 2,684.78 × 924.26
  4. Step 4: Simplify right side
    1,789.34x = 2,481,430.14
  5. Step 5: Solve for x
    x = 2,481,430.14/1,789.34
  6. Step 6: Final answer
    x = 1,386.79

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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.