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Finding the Fourth Proportional to 2,085.67, 3,128.10 and 624.70

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Solution

The fourth proportional to 2,085.67, 3,128.10 and 624.70 is: 936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.67 : 3,128.10 = 624.70 : x
  2. Step 2: Convert to fraction form
    2,085.67/3,128.10 = 624.70/x
  3. Step 3: Cross multiply
    2,085.67x = 3,128.10 × 624.70
  4. Step 4: Simplify right side
    2,085.67x = 1,954,124.07
  5. Step 5: Solve for x
    x = 1,954,124.07/2,085.67
  6. Step 6: Final answer
    x = 936.93

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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.