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Finding the Fourth Proportional to 1,522.70, 2,101.57 and 859.76

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Solution

The fourth proportional to 1,522.70, 2,101.57 and 859.76 is: 1,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.70 : 2,101.57 = 859.76 : x
  2. Step 2: Convert to fraction form
    1,522.70/2,101.57 = 859.76/x
  3. Step 3: Cross multiply
    1,522.70x = 2,101.57 × 859.76
  4. Step 4: Simplify right side
    1,522.70x = 1,806,855.29
  5. Step 5: Solve for x
    x = 1,806,855.29/1,522.70
  6. Step 6: Final answer
    x = 1,186.61

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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.