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Finding the Fourth Proportional to 1,974.32, 2,722.80 and 1,554.08

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Solution

The fourth proportional to 1,974.32, 2,722.80 and 1,554.08 is: 2,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.32 : 2,722.80 = 1,554.08 : x
  2. Step 2: Convert to fraction form
    1,974.32/2,722.80 = 1,554.08/x
  3. Step 3: Cross multiply
    1,974.32x = 2,722.80 × 1,554.08
  4. Step 4: Simplify right side
    1,974.32x = 4,231,449.02
  5. Step 5: Solve for x
    x = 4,231,449.02/1,974.32
  6. Step 6: Final answer
    x = 2,143.24

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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.