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Finding the Fourth Proportional to 2,275.02, 3,138.89 and 1,977.48

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Solution

The fourth proportional to 2,275.02, 3,138.89 and 1,977.48 is: 2,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.02 : 3,138.89 = 1,977.48 : x
  2. Step 2: Convert to fraction form
    2,275.02/3,138.89 = 1,977.48/x
  3. Step 3: Cross multiply
    2,275.02x = 3,138.89 × 1,977.48
  4. Step 4: Simplify right side
    2,275.02x = 6,207,082.31
  5. Step 5: Solve for x
    x = 6,207,082.31/2,275.02
  6. Step 6: Final answer
    x = 2,728.36

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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.