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Finding the Fourth Proportional to 2,851.65, 4,270.55 and 1,971.81

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Solution

The fourth proportional to 2,851.65, 4,270.55 and 1,971.81 is: 2,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.65 : 4,270.55 = 1,971.81 : x
  2. Step 2: Convert to fraction form
    2,851.65/4,270.55 = 1,971.81/x
  3. Step 3: Cross multiply
    2,851.65x = 4,270.55 × 1,971.81
  4. Step 4: Simplify right side
    2,851.65x = 8,420,703.34
  5. Step 5: Solve for x
    x = 8,420,703.34/2,851.65
  6. Step 6: Final answer
    x = 2,952.92

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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.