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Finding the Fourth Proportional to 2,315.67, 3,197.12 and 2,066.57

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Solution

The fourth proportional to 2,315.67, 3,197.12 and 2,066.57 is: 2,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.67 : 3,197.12 = 2,066.57 : x
  2. Step 2: Convert to fraction form
    2,315.67/3,197.12 = 2,066.57/x
  3. Step 3: Cross multiply
    2,315.67x = 3,197.12 × 2,066.57
  4. Step 4: Simplify right side
    2,315.67x = 6,607,045.96
  5. Step 5: Solve for x
    x = 6,607,045.96/2,315.67
  6. Step 6: Final answer
    x = 2,853.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.