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Finding the Fourth Proportional to 2,074.23, 3,111.75 and 613.35

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Solution

The fourth proportional to 2,074.23, 3,111.75 and 613.35 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.23 : 3,111.75 = 613.35 : x
  2. Step 2: Convert to fraction form
    2,074.23/3,111.75 = 613.35/x
  3. Step 3: Cross multiply
    2,074.23x = 3,111.75 × 613.35
  4. Step 4: Simplify right side
    2,074.23x = 1,908,591.86
  5. Step 5: Solve for x
    x = 1,908,591.86/2,074.23
  6. Step 6: Final answer
    x = 920.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.