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Finding the Fourth Proportional to 1,950.54, 2,911.02 and 1,871.16

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Solution

The fourth proportional to 1,950.54, 2,911.02 and 1,871.16 is: 2,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.54 : 2,911.02 = 1,871.16 : x
  2. Step 2: Convert to fraction form
    1,950.54/2,911.02 = 1,871.16/x
  3. Step 3: Cross multiply
    1,950.54x = 2,911.02 × 1,871.16
  4. Step 4: Simplify right side
    1,950.54x = 5,446,984.18
  5. Step 5: Solve for x
    x = 5,446,984.18/1,950.54
  6. Step 6: Final answer
    x = 2,792.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.