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Finding the Fourth Proportional to 1,526.34, 2,106.36 and 905.34

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Solution

The fourth proportional to 1,526.34, 2,106.36 and 905.34 is: 1,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.34 : 2,106.36 = 905.34 : x
  2. Step 2: Convert to fraction form
    1,526.34/2,106.36 = 905.34/x
  3. Step 3: Cross multiply
    1,526.34x = 2,106.36 × 905.34
  4. Step 4: Simplify right side
    1,526.34x = 1,906,971.96
  5. Step 5: Solve for x
    x = 1,906,971.96/1,526.34
  6. Step 6: Final answer
    x = 1,249.38

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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.