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Finding the Fourth Proportional to 1,977.48, 2,728.71 and 1,138.19

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Solution

The fourth proportional to 1,977.48, 2,728.71 and 1,138.19 is: 1,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.48 : 2,728.71 = 1,138.19 : x
  2. Step 2: Convert to fraction form
    1,977.48/2,728.71 = 1,138.19/x
  3. Step 3: Cross multiply
    1,977.48x = 2,728.71 × 1,138.19
  4. Step 4: Simplify right side
    1,977.48x = 3,105,776.79
  5. Step 5: Solve for x
    x = 3,105,776.79/1,977.48
  6. Step 6: Final answer
    x = 1,570.57

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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.