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Finding the Fourth Proportional to 2,719.32, 3,756.10 and 2,012.18

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Solution

The fourth proportional to 2,719.32, 3,756.10 and 2,012.18 is: 2,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.32 : 3,756.10 = 2,012.18 : x
  2. Step 2: Convert to fraction form
    2,719.32/3,756.10 = 2,012.18/x
  3. Step 3: Cross multiply
    2,719.32x = 3,756.10 × 2,012.18
  4. Step 4: Simplify right side
    2,719.32x = 7,557,949.30
  5. Step 5: Solve for x
    x = 7,557,949.30/2,719.32
  6. Step 6: Final answer
    x = 2,779.35

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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.