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Finding the Fourth Proportional to 1,515.40, 2,091.42 and 852.34

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Solution

The fourth proportional to 1,515.40, 2,091.42 and 852.34 is: 1,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.40 : 2,091.42 = 852.34 : x
  2. Step 2: Convert to fraction form
    1,515.40/2,091.42 = 852.34/x
  3. Step 3: Cross multiply
    1,515.40x = 2,091.42 × 852.34
  4. Step 4: Simplify right side
    1,515.40x = 1,782,600.92
  5. Step 5: Solve for x
    x = 1,782,600.92/1,515.40
  6. Step 6: Final answer
    x = 1,176.32

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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.