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Finding the Fourth Proportional to 2,085.84, 3,129.30 and 852.84

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Solution

The fourth proportional to 2,085.84, 3,129.30 and 852.84 is: 1,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.84 : 3,129.30 = 852.84 : x
  2. Step 2: Convert to fraction form
    2,085.84/3,129.30 = 852.84/x
  3. Step 3: Cross multiply
    2,085.84x = 3,129.30 × 852.84
  4. Step 4: Simplify right side
    2,085.84x = 2,668,792.21
  5. Step 5: Solve for x
    x = 2,668,792.21/2,085.84
  6. Step 6: Final answer
    x = 1,279.48

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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.