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Finding the Fourth Proportional to 2,015.64, 2,781.72 and 1,230.12

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Solution

The fourth proportional to 2,015.64, 2,781.72 and 1,230.12 is: 1,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.64 : 2,781.72 = 1,230.12 : x
  2. Step 2: Convert to fraction form
    2,015.64/2,781.72 = 1,230.12/x
  3. Step 3: Cross multiply
    2,015.64x = 2,781.72 × 1,230.12
  4. Step 4: Simplify right side
    2,015.64x = 3,421,849.41
  5. Step 5: Solve for x
    x = 3,421,849.41/2,015.64
  6. Step 6: Final answer
    x = 1,697.65

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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.