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Finding the Fourth Proportional to 1,874.23, 2,810.74 and 624.49

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Solution

The fourth proportional to 1,874.23, 2,810.74 and 624.49 is: 936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.23 : 2,810.74 = 624.49 : x
  2. Step 2: Convert to fraction form
    1,874.23/2,810.74 = 624.49/x
  3. Step 3: Cross multiply
    1,874.23x = 2,810.74 × 624.49
  4. Step 4: Simplify right side
    1,874.23x = 1,755,279.02
  5. Step 5: Solve for x
    x = 1,755,279.02/1,874.23
  6. Step 6: Final answer
    x = 936.53

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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.