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Finding the Fourth Proportional to 2,316.15, 3,473.36 and 834.98

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Solution

The fourth proportional to 2,316.15, 3,473.36 and 834.98 is: 1,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.15 : 3,473.36 = 834.98 : x
  2. Step 2: Convert to fraction form
    2,316.15/3,473.36 = 834.98/x
  3. Step 3: Cross multiply
    2,316.15x = 3,473.36 × 834.98
  4. Step 4: Simplify right side
    2,316.15x = 2,900,172.42
  5. Step 5: Solve for x
    x = 2,900,172.42/2,316.15
  6. Step 6: Final answer
    x = 1,252.15

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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.