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Finding the Fourth Proportional to 1,991.42, 2,987.75 and 1,554.16

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Solution

The fourth proportional to 1,991.42, 2,987.75 and 1,554.16 is: 2,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.42 : 2,987.75 = 1,554.16 : x
  2. Step 2: Convert to fraction form
    1,991.42/2,987.75 = 1,554.16/x
  3. Step 3: Cross multiply
    1,991.42x = 2,987.75 × 1,554.16
  4. Step 4: Simplify right side
    1,991.42x = 4,643,426.30
  5. Step 5: Solve for x
    x = 4,643,426.30/1,991.42
  6. Step 6: Final answer
    x = 2,331.72

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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.