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Finding the Fourth Proportional to 2,316.67, 3,478.46 and 2,282.07

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Solution

The fourth proportional to 2,316.67, 3,478.46 and 2,282.07 is: 3,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.67 : 3,478.46 = 2,282.07 : x
  2. Step 2: Convert to fraction form
    2,316.67/3,478.46 = 2,282.07/x
  3. Step 3: Cross multiply
    2,316.67x = 3,478.46 × 2,282.07
  4. Step 4: Simplify right side
    2,316.67x = 7,938,089.21
  5. Step 5: Solve for x
    x = 7,938,089.21/2,316.67
  6. Step 6: Final answer
    x = 3,426.52

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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.