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Finding the Fourth Proportional to 2,074.16, 3,111.60 and 613.40

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Solution

The fourth proportional to 2,074.16, 3,111.60 and 613.40 is: 920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.16 : 3,111.60 = 613.40 : x
  2. Step 2: Convert to fraction form
    2,074.16/3,111.60 = 613.40/x
  3. Step 3: Cross multiply
    2,074.16x = 3,111.60 × 613.40
  4. Step 4: Simplify right side
    2,074.16x = 1,908,655.44
  5. Step 5: Solve for x
    x = 1,908,655.44/2,074.16
  6. Step 6: Final answer
    x = 920.21

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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.