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Finding the Fourth Proportional to 1,832.76, 2,527.20 and 1,554.12

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Solution

The fourth proportional to 1,832.76, 2,527.20 and 1,554.12 is: 2,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.76 : 2,527.20 = 1,554.12 : x
  2. Step 2: Convert to fraction form
    1,832.76/2,527.20 = 1,554.12/x
  3. Step 3: Cross multiply
    1,832.76x = 2,527.20 × 1,554.12
  4. Step 4: Simplify right side
    1,832.76x = 3,927,572.06
  5. Step 5: Solve for x
    x = 3,927,572.06/1,832.76
  6. Step 6: Final answer
    x = 2,142.98

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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.